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Finding the Fourth Proportional to 409.70, 614.39 and 135.64

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Solution

The fourth proportional to 409.70, 614.39 and 135.64 is: 203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.70 : 614.39 = 135.64 : x
  2. Step 2: Convert to fraction form
    409.70/614.39 = 135.64/x
  3. Step 3: Cross multiply
    409.70x = 614.39 × 135.64
  4. Step 4: Simplify right side
    409.70x = 83,335.86
  5. Step 5: Solve for x
    x = 83,335.86/409.70
  6. Step 6: Final answer
    x = 203.41

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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.