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Finding the Fourth Proportional to 372.92, 557.08 and 286.22

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Solution

The fourth proportional to 372.92, 557.08 and 286.22 is: 427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.92 : 557.08 = 286.22 : x
  2. Step 2: Convert to fraction form
    372.92/557.08 = 286.22/x
  3. Step 3: Cross multiply
    372.92x = 557.08 × 286.22
  4. Step 4: Simplify right side
    372.92x = 159,447.44
  5. Step 5: Solve for x
    x = 159,447.44/372.92
  6. Step 6: Final answer
    x = 427.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.