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Finding the Fourth Proportional to 308.77, 459.75 and 306.61

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Solution

The fourth proportional to 308.77, 459.75 and 306.61 is: 456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.77 : 459.75 = 306.61 : x
  2. Step 2: Convert to fraction form
    308.77/459.75 = 306.61/x
  3. Step 3: Cross multiply
    308.77x = 459.75 × 306.61
  4. Step 4: Simplify right side
    308.77x = 140,963.95
  5. Step 5: Solve for x
    x = 140,963.95/308.77
  6. Step 6: Final answer
    x = 456.53

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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.