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Finding the Fourth Proportional to 130.66, 178.88 and 127.42

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Solution

The fourth proportional to 130.66, 178.88 and 127.42 is: 174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.66 : 178.88 = 127.42 : x
  2. Step 2: Convert to fraction form
    130.66/178.88 = 127.42/x
  3. Step 3: Cross multiply
    130.66x = 178.88 × 127.42
  4. Step 4: Simplify right side
    130.66x = 22,792.89
  5. Step 5: Solve for x
    x = 22,792.89/130.66
  6. Step 6: Final answer
    x = 174.44

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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.