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Finding the Fourth Proportional to 530.36, 731.84 and 309.36

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Solution

The fourth proportional to 530.36, 731.84 and 309.36 is: 426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.36 : 731.84 = 309.36 : x
  2. Step 2: Convert to fraction form
    530.36/731.84 = 309.36/x
  3. Step 3: Cross multiply
    530.36x = 731.84 × 309.36
  4. Step 4: Simplify right side
    530.36x = 226,402.02
  5. Step 5: Solve for x
    x = 226,402.02/530.36
  6. Step 6: Final answer
    x = 426.88

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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.