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Finding the Fourth Proportional to 308.20, 460.37 and 306.76

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Solution

The fourth proportional to 308.20, 460.37 and 306.76 is: 458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.20 : 460.37 = 306.76 : x
  2. Step 2: Convert to fraction form
    308.20/460.37 = 306.76/x
  3. Step 3: Cross multiply
    308.20x = 460.37 × 306.76
  4. Step 4: Simplify right side
    308.20x = 141,223.10
  5. Step 5: Solve for x
    x = 141,223.10/308.20
  6. Step 6: Final answer
    x = 458.22

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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.