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Finding the Fourth Proportional to 466.76, 643.96 and 267.61

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Solution

The fourth proportional to 466.76, 643.96 and 267.61 is: 369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.76 : 643.96 = 267.61 : x
  2. Step 2: Convert to fraction form
    466.76/643.96 = 267.61/x
  3. Step 3: Cross multiply
    466.76x = 643.96 × 267.61
  4. Step 4: Simplify right side
    466.76x = 172,330.14
  5. Step 5: Solve for x
    x = 172,330.14/466.76
  6. Step 6: Final answer
    x = 369.21

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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.