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Finding the Fourth Proportional to 408.31, 562.88 and 291.67

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Solution

The fourth proportional to 408.31, 562.88 and 291.67 is: 402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.31 : 562.88 = 291.67 : x
  2. Step 2: Convert to fraction form
    408.31/562.88 = 291.67/x
  3. Step 3: Cross multiply
    408.31x = 562.88 × 291.67
  4. Step 4: Simplify right side
    408.31x = 164,175.21
  5. Step 5: Solve for x
    x = 164,175.21/408.31
  6. Step 6: Final answer
    x = 402.08

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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.