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Finding the Fourth Proportional to 308.38, 459.41 and 289.78

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Solution

The fourth proportional to 308.38, 459.41 and 289.78 is: 431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.38 : 459.41 = 289.78 : x
  2. Step 2: Convert to fraction form
    308.38/459.41 = 289.78/x
  3. Step 3: Cross multiply
    308.38x = 459.41 × 289.78
  4. Step 4: Simplify right side
    308.38x = 133,127.83
  5. Step 5: Solve for x
    x = 133,127.83/308.38
  6. Step 6: Final answer
    x = 431.70

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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.