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Finding the Fourth Proportional to 360.99, 541.17 and 178.47

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Solution

The fourth proportional to 360.99, 541.17 and 178.47 is: 267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.99 : 541.17 = 178.47 : x
  2. Step 2: Convert to fraction form
    360.99/541.17 = 178.47/x
  3. Step 3: Cross multiply
    360.99x = 541.17 × 178.47
  4. Step 4: Simplify right side
    360.99x = 96,582.61
  5. Step 5: Solve for x
    x = 96,582.61/360.99
  6. Step 6: Final answer
    x = 267.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.