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Finding the Fourth Proportional to 407.23, 562.09 and 267.45

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Solution

The fourth proportional to 407.23, 562.09 and 267.45 is: 369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.23 : 562.09 = 267.45 : x
  2. Step 2: Convert to fraction form
    407.23/562.09 = 267.45/x
  3. Step 3: Cross multiply
    407.23x = 562.09 × 267.45
  4. Step 4: Simplify right side
    407.23x = 150,331.86
  5. Step 5: Solve for x
    x = 150,331.86/407.23
  6. Step 6: Final answer
    x = 369.16

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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.