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Finding the Fourth Proportional to 409.74, 614.65 and 135.83

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Solution

The fourth proportional to 409.74, 614.65 and 135.83 is: 203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.74 : 614.65 = 135.83 : x
  2. Step 2: Convert to fraction form
    409.74/614.65 = 135.83/x
  3. Step 3: Cross multiply
    409.74x = 614.65 × 135.83
  4. Step 4: Simplify right side
    409.74x = 83,487.91
  5. Step 5: Solve for x
    x = 83,487.91/409.74
  6. Step 6: Final answer
    x = 203.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.