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Finding the Fourth Proportional to 180.71, 247.57 and 174.55

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Solution

The fourth proportional to 180.71, 247.57 and 174.55 is: 239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.71 : 247.57 = 174.55 : x
  2. Step 2: Convert to fraction form
    180.71/247.57 = 174.55/x
  3. Step 3: Cross multiply
    180.71x = 247.57 × 174.55
  4. Step 4: Simplify right side
    180.71x = 43,213.34
  5. Step 5: Solve for x
    x = 43,213.34/180.71
  6. Step 6: Final answer
    x = 239.13

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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.