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Finding the Fourth Proportional to 129.90, 177.93 and 129.54

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Solution

The fourth proportional to 129.90, 177.93 and 129.54 is: 177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.90 : 177.93 = 129.54 : x
  2. Step 2: Convert to fraction form
    129.90/177.93 = 129.54/x
  3. Step 3: Cross multiply
    129.90x = 177.93 × 129.54
  4. Step 4: Simplify right side
    129.90x = 23,049.05
  5. Step 5: Solve for x
    x = 23,049.05/129.90
  6. Step 6: Final answer
    x = 177.44

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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.