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Finding the Fourth Proportional to 129.90, 177.81 and 127.47

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Solution

The fourth proportional to 129.90, 177.81 and 127.47 is: 174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.90 : 177.81 = 127.47 : x
  2. Step 2: Convert to fraction form
    129.90/177.81 = 127.47/x
  3. Step 3: Cross multiply
    129.90x = 177.81 × 127.47
  4. Step 4: Simplify right side
    129.90x = 22,665.44
  5. Step 5: Solve for x
    x = 22,665.44/129.90
  6. Step 6: Final answer
    x = 174.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.