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Finding the Fourth Proportional to 361.42, 542.03 and 293.31

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Solution

The fourth proportional to 361.42, 542.03 and 293.31 is: 439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.42 : 542.03 = 293.31 : x
  2. Step 2: Convert to fraction form
    361.42/542.03 = 293.31/x
  3. Step 3: Cross multiply
    361.42x = 542.03 × 293.31
  4. Step 4: Simplify right side
    361.42x = 158,981.35
  5. Step 5: Solve for x
    x = 158,981.35/361.42
  6. Step 6: Final answer
    x = 439.88

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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.