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Finding the Fourth Proportional to 530.32, 731.64 and 309.14

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Solution

The fourth proportional to 530.32, 731.64 and 309.14 is: 426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.32 : 731.64 = 309.14 : x
  2. Step 2: Convert to fraction form
    530.32/731.64 = 309.14/x
  3. Step 3: Cross multiply
    530.32x = 731.64 × 309.14
  4. Step 4: Simplify right side
    530.32x = 226,179.19
  5. Step 5: Solve for x
    x = 226,179.19/530.32
  6. Step 6: Final answer
    x = 426.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.