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Finding the Fourth Proportional to 180.59, 271.97 and 159.15

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Solution

The fourth proportional to 180.59, 271.97 and 159.15 is: 239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.59 : 271.97 = 159.15 : x
  2. Step 2: Convert to fraction form
    180.59/271.97 = 159.15/x
  3. Step 3: Cross multiply
    180.59x = 271.97 × 159.15
  4. Step 4: Simplify right side
    180.59x = 43,283.23
  5. Step 5: Solve for x
    x = 43,283.23/180.59
  6. Step 6: Final answer
    x = 239.68

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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.