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Finding the Fourth Proportional to 129.35, 177.40 and 114.77

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Solution

The fourth proportional to 129.35, 177.40 and 114.77 is: 157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.35 : 177.40 = 114.77 : x
  2. Step 2: Convert to fraction form
    129.35/177.40 = 114.77/x
  3. Step 3: Cross multiply
    129.35x = 177.40 × 114.77
  4. Step 4: Simplify right side
    129.35x = 20,359.60
  5. Step 5: Solve for x
    x = 20,359.60/129.35
  6. Step 6: Final answer
    x = 157.41

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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.