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Finding the Fourth Proportional to 372.72, 558.66 and 189.56

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Solution

The fourth proportional to 372.72, 558.66 and 189.56 is: 284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.72 : 558.66 = 189.56 : x
  2. Step 2: Convert to fraction form
    372.72/558.66 = 189.56/x
  3. Step 3: Cross multiply
    372.72x = 558.66 × 189.56
  4. Step 4: Simplify right side
    372.72x = 105,899.59
  5. Step 5: Solve for x
    x = 105,899.59/372.72
  6. Step 6: Final answer
    x = 284.13

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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.