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Finding the Fourth Proportional to 302.62, 453.92 and 97.12

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Solution

The fourth proportional to 302.62, 453.92 and 97.12 is: 145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.62 : 453.92 = 97.12 : x
  2. Step 2: Convert to fraction form
    302.62/453.92 = 97.12/x
  3. Step 3: Cross multiply
    302.62x = 453.92 × 97.12
  4. Step 4: Simplify right side
    302.62x = 44,084.71
  5. Step 5: Solve for x
    x = 44,084.71/302.62
  6. Step 6: Final answer
    x = 145.68

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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.