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Finding the Fourth Proportional to 177.66, 243.55 and 174.82

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Solution

The fourth proportional to 177.66, 243.55 and 174.82 is: 239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.66 : 243.55 = 174.82 : x
  2. Step 2: Convert to fraction form
    177.66/243.55 = 174.82/x
  3. Step 3: Cross multiply
    177.66x = 243.55 × 174.82
  4. Step 4: Simplify right side
    177.66x = 42,577.41
  5. Step 5: Solve for x
    x = 42,577.41/177.66
  6. Step 6: Final answer
    x = 239.66

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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.