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Finding the Fourth Proportional to 177.42, 266.42 and 116.66

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Solution

The fourth proportional to 177.42, 266.42 and 116.66 is: 175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.42 : 266.42 = 116.66 : x
  2. Step 2: Convert to fraction form
    177.42/266.42 = 116.66/x
  3. Step 3: Cross multiply
    177.42x = 266.42 × 116.66
  4. Step 4: Simplify right side
    177.42x = 31,080.56
  5. Step 5: Solve for x
    x = 31,080.56/177.42
  6. Step 6: Final answer
    x = 175.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.