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Finding the Fourth Proportional to 180.40, 272.11 and 177.88

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Solution

The fourth proportional to 180.40, 272.11 and 177.88 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.40 : 272.11 = 177.88 : x
  2. Step 2: Convert to fraction form
    180.40/272.11 = 177.88/x
  3. Step 3: Cross multiply
    180.40x = 272.11 × 177.88
  4. Step 4: Simplify right side
    180.40x = 48,402.93
  5. Step 5: Solve for x
    x = 48,402.93/180.40
  6. Step 6: Final answer
    x = 268.31

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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.