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Finding the Fourth Proportional to 372.10, 557.61 and 209.83

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Solution

The fourth proportional to 372.10, 557.61 and 209.83 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.10 : 557.61 = 209.83 : x
  2. Step 2: Convert to fraction form
    372.10/557.61 = 209.83/x
  3. Step 3: Cross multiply
    372.10x = 557.61 × 209.83
  4. Step 4: Simplify right side
    372.10x = 117,003.31
  5. Step 5: Solve for x
    x = 117,003.31/372.10
  6. Step 6: Final answer
    x = 314.44

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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.