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Finding the Fourth Proportional to 509.41, 764.12 and 235.63

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Solution

The fourth proportional to 509.41, 764.12 and 235.63 is: 353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.41 : 764.12 = 235.63 : x
  2. Step 2: Convert to fraction form
    509.41/764.12 = 235.63/x
  3. Step 3: Cross multiply
    509.41x = 764.12 × 235.63
  4. Step 4: Simplify right side
    509.41x = 180,049.60
  5. Step 5: Solve for x
    x = 180,049.60/509.41
  6. Step 6: Final answer
    x = 353.45

Related Problems

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Half scale
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Double scale
Find fourth proportional to 510.41, 765.62 and 236.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.