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Finding the Fourth Proportional to 372.78, 558.74 and 189.79

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Solution

The fourth proportional to 372.78, 558.74 and 189.79 is: 284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.78 : 558.74 = 189.79 : x
  2. Step 2: Convert to fraction form
    372.78/558.74 = 189.79/x
  3. Step 3: Cross multiply
    372.78x = 558.74 × 189.79
  4. Step 4: Simplify right side
    372.78x = 106,042.34
  5. Step 5: Solve for x
    x = 106,042.34/372.78
  6. Step 6: Final answer
    x = 284.46

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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.