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Finding the Fourth Proportional to 372.22, 558.85 and 189.74

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Solution

The fourth proportional to 372.22, 558.85 and 189.74 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.22 : 558.85 = 189.74 : x
  2. Step 2: Convert to fraction form
    372.22/558.85 = 189.74/x
  3. Step 3: Cross multiply
    372.22x = 558.85 × 189.74
  4. Step 4: Simplify right side
    372.22x = 106,036.65
  5. Step 5: Solve for x
    x = 106,036.65/372.22
  6. Step 6: Final answer
    x = 284.88

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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.