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Finding the Fourth Proportional to 306.15, 456.97 and 269.70

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Solution

The fourth proportional to 306.15, 456.97 and 269.70 is: 402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.15 : 456.97 = 269.70 : x
  2. Step 2: Convert to fraction form
    306.15/456.97 = 269.70/x
  3. Step 3: Cross multiply
    306.15x = 456.97 × 269.70
  4. Step 4: Simplify right side
    306.15x = 123,244.81
  5. Step 5: Solve for x
    x = 123,244.81/306.15
  6. Step 6: Final answer
    x = 402.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.