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Finding the Fourth Proportional to 177.58, 264.99 and 159.42

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Solution

The fourth proportional to 177.58, 264.99 and 159.42 is: 237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.58 : 264.99 = 159.42 : x
  2. Step 2: Convert to fraction form
    177.58/264.99 = 159.42/x
  3. Step 3: Cross multiply
    177.58x = 264.99 × 159.42
  4. Step 4: Simplify right side
    177.58x = 42,243.91
  5. Step 5: Solve for x
    x = 42,243.91/177.58
  6. Step 6: Final answer
    x = 237.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.