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Finding the Fourth Proportional to 477.06, 658.35 and 267.25

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Solution

The fourth proportional to 477.06, 658.35 and 267.25 is: 368.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.06 : 658.35 = 267.25 : x
  2. Step 2: Convert to fraction form
    477.06/658.35 = 267.25/x
  3. Step 3: Cross multiply
    477.06x = 658.35 × 267.25
  4. Step 4: Simplify right side
    477.06x = 175,944.04
  5. Step 5: Solve for x
    x = 175,944.04/477.06
  6. Step 6: Final answer
    x = 368.81

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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.