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Finding the Fourth Proportional to 129.52, 178.62 and 119.24

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Solution

The fourth proportional to 129.52, 178.62 and 119.24 is: 164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.52 : 178.62 = 119.24 : x
  2. Step 2: Convert to fraction form
    129.52/178.62 = 119.24/x
  3. Step 3: Cross multiply
    129.52x = 178.62 × 119.24
  4. Step 4: Simplify right side
    129.52x = 21,298.65
  5. Step 5: Solve for x
    x = 21,298.65/129.52
  6. Step 6: Final answer
    x = 164.44

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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.