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Finding the Fourth Proportional to 177.12, 242.46 and 171.59

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Solution

The fourth proportional to 177.12, 242.46 and 171.59 is: 234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.12 : 242.46 = 171.59 : x
  2. Step 2: Convert to fraction form
    177.12/242.46 = 171.59/x
  3. Step 3: Cross multiply
    177.12x = 242.46 × 171.59
  4. Step 4: Simplify right side
    177.12x = 41,602.50
  5. Step 5: Solve for x
    x = 41,602.50/177.12
  6. Step 6: Final answer
    x = 234.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.