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Finding the Fourth Proportional to 509.68, 764.14 and 253.36

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Solution

The fourth proportional to 509.68, 764.14 and 253.36 is: 379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.68 : 764.14 = 253.36 : x
  2. Step 2: Convert to fraction form
    509.68/764.14 = 253.36/x
  3. Step 3: Cross multiply
    509.68x = 764.14 × 253.36
  4. Step 4: Simplify right side
    509.68x = 193,602.51
  5. Step 5: Solve for x
    x = 193,602.51/509.68
  6. Step 6: Final answer
    x = 379.85

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Double scale
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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.