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Finding the Fourth Proportional to 407.88, 562.68 and 267.95

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Solution

The fourth proportional to 407.88, 562.68 and 267.95 is: 369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.88 : 562.68 = 267.95 : x
  2. Step 2: Convert to fraction form
    407.88/562.68 = 267.95/x
  3. Step 3: Cross multiply
    407.88x = 562.68 × 267.95
  4. Step 4: Simplify right side
    407.88x = 150,767.29
  5. Step 5: Solve for x
    x = 150,767.29/407.88
  6. Step 6: Final answer
    x = 369.64

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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.