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Finding the Fourth Proportional to 530.76, 732.32 and 306.71

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Solution

The fourth proportional to 530.76, 732.32 and 306.71 is: 423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.76 : 732.32 = 306.71 : x
  2. Step 2: Convert to fraction form
    530.76/732.32 = 306.71/x
  3. Step 3: Cross multiply
    530.76x = 732.32 × 306.71
  4. Step 4: Simplify right side
    530.76x = 224,604.67
  5. Step 5: Solve for x
    x = 224,604.67/530.76
  6. Step 6: Final answer
    x = 423.18

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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.