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Finding the Fourth Proportional to 394.74, 544.92 and 267.24

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Solution

The fourth proportional to 394.74, 544.92 and 267.24 is: 368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.74 : 544.92 = 267.24 : x
  2. Step 2: Convert to fraction form
    394.74/544.92 = 267.24/x
  3. Step 3: Cross multiply
    394.74x = 544.92 × 267.24
  4. Step 4: Simplify right side
    394.74x = 145,624.42
  5. Step 5: Solve for x
    x = 145,624.42/394.74
  6. Step 6: Final answer
    x = 368.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.