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Finding the Fourth Proportional to 177.48, 244.42 and 151.56

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Solution

The fourth proportional to 177.48, 244.42 and 151.56 is: 208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.48 : 244.42 = 151.56 : x
  2. Step 2: Convert to fraction form
    177.48/244.42 = 151.56/x
  3. Step 3: Cross multiply
    177.48x = 244.42 × 151.56
  4. Step 4: Simplify right side
    177.48x = 37,044.30
  5. Step 5: Solve for x
    x = 37,044.30/177.48
  6. Step 6: Final answer
    x = 208.72

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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.