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Finding the Fourth Proportional to 372.30, 513.45 and 298.59

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Solution

The fourth proportional to 372.30, 513.45 and 298.59 is: 411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.30 : 513.45 = 298.59 : x
  2. Step 2: Convert to fraction form
    372.30/513.45 = 298.59/x
  3. Step 3: Cross multiply
    372.30x = 513.45 × 298.59
  4. Step 4: Simplify right side
    372.30x = 153,311.04
  5. Step 5: Solve for x
    x = 153,311.04/372.30
  6. Step 6: Final answer
    x = 411.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.