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Finding the Fourth Proportional to 361.89, 542.61 and 179.46

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Solution

The fourth proportional to 361.89, 542.61 and 179.46 is: 269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.89 : 542.61 = 179.46 : x
  2. Step 2: Convert to fraction form
    361.89/542.61 = 179.46/x
  3. Step 3: Cross multiply
    361.89x = 542.61 × 179.46
  4. Step 4: Simplify right side
    361.89x = 97,376.79
  5. Step 5: Solve for x
    x = 97,376.79/361.89
  6. Step 6: Final answer
    x = 269.08

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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.