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Finding the Fourth Proportional to 509.47, 764.21 and 144.26

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Solution

The fourth proportional to 509.47, 764.21 and 144.26 is: 216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.47 : 764.21 = 144.26 : x
  2. Step 2: Convert to fraction form
    509.47/764.21 = 144.26/x
  3. Step 3: Cross multiply
    509.47x = 764.21 × 144.26
  4. Step 4: Simplify right side
    509.47x = 110,244.93
  5. Step 5: Solve for x
    x = 110,244.93/509.47
  6. Step 6: Final answer
    x = 216.39

Related Problems

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Half scale
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Double scale
Find fourth proportional to 510.47, 765.71 and 145.26
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.