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Finding the Fourth Proportional to 407.48, 562.16 and 267.55

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Solution

The fourth proportional to 407.48, 562.16 and 267.55 is: 369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.48 : 562.16 = 267.55 : x
  2. Step 2: Convert to fraction form
    407.48/562.16 = 267.55/x
  3. Step 3: Cross multiply
    407.48x = 562.16 × 267.55
  4. Step 4: Simplify right side
    407.48x = 150,405.17
  5. Step 5: Solve for x
    x = 150,405.17/407.48
  6. Step 6: Final answer
    x = 369.12

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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.