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Finding the Fourth Proportional to 372.33, 558.69 and 189.71

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Solution

The fourth proportional to 372.33, 558.69 and 189.71 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.33 : 558.69 = 189.71 : x
  2. Step 2: Convert to fraction form
    372.33/558.69 = 189.71/x
  3. Step 3: Cross multiply
    372.33x = 558.69 × 189.71
  4. Step 4: Simplify right side
    372.33x = 105,987.67
  5. Step 5: Solve for x
    x = 105,987.67/372.33
  6. Step 6: Final answer
    x = 284.66

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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.