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Finding the Fourth Proportional to 177.47, 243.56 and 161.00

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Solution

The fourth proportional to 177.47, 243.56 and 161.00 is: 220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.47 : 243.56 = 161.00 : x
  2. Step 2: Convert to fraction form
    177.47/243.56 = 161.00/x
  3. Step 3: Cross multiply
    177.47x = 243.56 × 161.00
  4. Step 4: Simplify right side
    177.47x = 39,211.14
  5. Step 5: Solve for x
    x = 39,211.14/177.47
  6. Step 6: Final answer
    x = 220.95

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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.