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Finding the Fourth Proportional to 372.55, 514.61 and 286.29

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Solution

The fourth proportional to 372.55, 514.61 and 286.29 is: 395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.55 : 514.61 = 286.29 : x
  2. Step 2: Convert to fraction form
    372.55/514.61 = 286.29/x
  3. Step 3: Cross multiply
    372.55x = 514.61 × 286.29
  4. Step 4: Simplify right side
    372.55x = 147,327.70
  5. Step 5: Solve for x
    x = 147,327.70/372.55
  6. Step 6: Final answer
    x = 395.46

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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.