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Finding the Fourth Proportional to 477.55, 659.07 and 267.74

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Solution

The fourth proportional to 477.55, 659.07 and 267.74 is: 369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.55 : 659.07 = 267.74 : x
  2. Step 2: Convert to fraction form
    477.55/659.07 = 267.74/x
  3. Step 3: Cross multiply
    477.55x = 659.07 × 267.74
  4. Step 4: Simplify right side
    477.55x = 176,456.11
  5. Step 5: Solve for x
    x = 176,456.11/477.55
  6. Step 6: Final answer
    x = 369.50

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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.