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Finding the Fourth Proportional to 530.06, 731.43 and 308.96

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Solution

The fourth proportional to 530.06, 731.43 and 308.96 is: 426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.06 : 731.43 = 308.96 : x
  2. Step 2: Convert to fraction form
    530.06/731.43 = 308.96/x
  3. Step 3: Cross multiply
    530.06x = 731.43 × 308.96
  4. Step 4: Simplify right side
    530.06x = 225,982.61
  5. Step 5: Solve for x
    x = 225,982.61/530.06
  6. Step 6: Final answer
    x = 426.33

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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.