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Finding the Fourth Proportional to 177.21, 266.76 and 138.96

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Solution

The fourth proportional to 177.21, 266.76 and 138.96 is: 209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.21 : 266.76 = 138.96 : x
  2. Step 2: Convert to fraction form
    177.21/266.76 = 138.96/x
  3. Step 3: Cross multiply
    177.21x = 266.76 × 138.96
  4. Step 4: Simplify right side
    177.21x = 37,068.97
  5. Step 5: Solve for x
    x = 37,068.97/177.21
  6. Step 6: Final answer
    x = 209.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.