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Finding the Fourth Proportional to 372.48, 558.27 and 209.83

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Solution

The fourth proportional to 372.48, 558.27 and 209.83 is: 314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.48 : 558.27 = 209.83 : x
  2. Step 2: Convert to fraction form
    372.48/558.27 = 209.83/x
  3. Step 3: Cross multiply
    372.48x = 558.27 × 209.83
  4. Step 4: Simplify right side
    372.48x = 117,137.95
  5. Step 5: Solve for x
    x = 117,137.95/372.48
  6. Step 6: Final answer
    x = 314.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.