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Finding the Fourth Proportional to 409, 564.24 and 267.22

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Solution

The fourth proportional to 409, 564.24 and 267.22 is: 368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 564.24 = 267.22 : x
  2. Step 2: Convert to fraction form
    409/564.24 = 267.22/x
  3. Step 3: Cross multiply
    409x = 564.24 × 267.22
  4. Step 4: Simplify right side
    409x = 150,776.21
  5. Step 5: Solve for x
    x = 150,776.21/409
  6. Step 6: Final answer
    x = 368.65

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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.