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Finding the Fourth Proportional to 372.24, 558.64 and 218.30

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Solution

The fourth proportional to 372.24, 558.64 and 218.30 is: 327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.24 : 558.64 = 218.30 : x
  2. Step 2: Convert to fraction form
    372.24/558.64 = 218.30/x
  3. Step 3: Cross multiply
    372.24x = 558.64 × 218.30
  4. Step 4: Simplify right side
    372.24x = 121,951.11
  5. Step 5: Solve for x
    x = 121,951.11/372.24
  6. Step 6: Final answer
    x = 327.61

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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.