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Finding the Fourth Proportional to 177.46, 244.82 and 142.58

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Solution

The fourth proportional to 177.46, 244.82 and 142.58 is: 196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.46 : 244.82 = 142.58 : x
  2. Step 2: Convert to fraction form
    177.46/244.82 = 142.58/x
  3. Step 3: Cross multiply
    177.46x = 244.82 × 142.58
  4. Step 4: Simplify right side
    177.46x = 34,905.21
  5. Step 5: Solve for x
    x = 34,905.21/177.46
  6. Step 6: Final answer
    x = 196.69

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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.