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Finding the Fourth Proportional to 308.31, 459.41 and 296.70

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Solution

The fourth proportional to 308.31, 459.41 and 296.70 is: 442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.31 : 459.41 = 296.70 : x
  2. Step 2: Convert to fraction form
    308.31/459.41 = 296.70/x
  3. Step 3: Cross multiply
    308.31x = 459.41 × 296.70
  4. Step 4: Simplify right side
    308.31x = 136,306.95
  5. Step 5: Solve for x
    x = 136,306.95/308.31
  6. Step 6: Final answer
    x = 442.11

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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.