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Finding the Fourth Proportional to 180.30, 271.50 and 174.92

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Solution

The fourth proportional to 180.30, 271.50 and 174.92 is: 263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.30 : 271.50 = 174.92 : x
  2. Step 2: Convert to fraction form
    180.30/271.50 = 174.92/x
  3. Step 3: Cross multiply
    180.30x = 271.50 × 174.92
  4. Step 4: Simplify right side
    180.30x = 47,489.42
  5. Step 5: Solve for x
    x = 47,489.42/180.30
  6. Step 6: Final answer
    x = 263.39

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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.