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Finding the Fourth Proportional to 408.04, 562.82 and 283.72

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Solution

The fourth proportional to 408.04, 562.82 and 283.72 is: 391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.04 : 562.82 = 283.72 : x
  2. Step 2: Convert to fraction form
    408.04/562.82 = 283.72/x
  3. Step 3: Cross multiply
    408.04x = 562.82 × 283.72
  4. Step 4: Simplify right side
    408.04x = 159,683.29
  5. Step 5: Solve for x
    x = 159,683.29/408.04
  6. Step 6: Final answer
    x = 391.34

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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.