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Finding the Fourth Proportional to 177.98, 265.49 and 149.27

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Solution

The fourth proportional to 177.98, 265.49 and 149.27 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.98 : 265.49 = 149.27 : x
  2. Step 2: Convert to fraction form
    177.98/265.49 = 149.27/x
  3. Step 3: Cross multiply
    177.98x = 265.49 × 149.27
  4. Step 4: Simplify right side
    177.98x = 39,628.95
  5. Step 5: Solve for x
    x = 39,628.95/177.98
  6. Step 6: Final answer
    x = 222.66

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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.