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Finding the Fourth Proportional to 372.50, 514.06 and 206.72

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Solution

The fourth proportional to 372.50, 514.06 and 206.72 is: 285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.50 : 514.06 = 206.72 : x
  2. Step 2: Convert to fraction form
    372.50/514.06 = 206.72/x
  3. Step 3: Cross multiply
    372.50x = 514.06 × 206.72
  4. Step 4: Simplify right side
    372.50x = 106,265.45
  5. Step 5: Solve for x
    x = 106,265.45/372.50
  6. Step 6: Final answer
    x = 285.28

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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.