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Finding the Fourth Proportional to 477.70, 659.21 and 267.88

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Solution

The fourth proportional to 477.70, 659.21 and 267.88 is: 369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.70 : 659.21 = 267.88 : x
  2. Step 2: Convert to fraction form
    477.70/659.21 = 267.88/x
  3. Step 3: Cross multiply
    477.70x = 659.21 × 267.88
  4. Step 4: Simplify right side
    477.70x = 176,586.55
  5. Step 5: Solve for x
    x = 176,586.55/477.70
  6. Step 6: Final answer
    x = 369.66

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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.