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Finding the Fourth Proportional to 361.24, 542.02 and 144.76

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Solution

The fourth proportional to 361.24, 542.02 and 144.76 is: 217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.24 : 542.02 = 144.76 : x
  2. Step 2: Convert to fraction form
    361.24/542.02 = 144.76/x
  3. Step 3: Cross multiply
    361.24x = 542.02 × 144.76
  4. Step 4: Simplify right side
    361.24x = 78,462.82
  5. Step 5: Solve for x
    x = 78,462.82/361.24
  6. Step 6: Final answer
    x = 217.20

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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.