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Finding the Fourth Proportional to 177.12, 244.16 and 142.10

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Solution

The fourth proportional to 177.12, 244.16 and 142.10 is: 195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.12 : 244.16 = 142.10 : x
  2. Step 2: Convert to fraction form
    177.12/244.16 = 142.10/x
  3. Step 3: Cross multiply
    177.12x = 244.16 × 142.10
  4. Step 4: Simplify right side
    177.12x = 34,695.14
  5. Step 5: Solve for x
    x = 34,695.14/177.12
  6. Step 6: Final answer
    x = 195.88

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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.