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Finding the Fourth Proportional to 129.19, 177.69 and 118.57

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Solution

The fourth proportional to 129.19, 177.69 and 118.57 is: 163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.19 : 177.69 = 118.57 : x
  2. Step 2: Convert to fraction form
    129.19/177.69 = 118.57/x
  3. Step 3: Cross multiply
    129.19x = 177.69 × 118.57
  4. Step 4: Simplify right side
    129.19x = 21,068.70
  5. Step 5: Solve for x
    x = 21,068.70/129.19
  6. Step 6: Final answer
    x = 163.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.