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Finding the Fourth Proportional to 372.90, 514.64 and 207.14

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Solution

The fourth proportional to 372.90, 514.64 and 207.14 is: 285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.90 : 514.64 = 207.14 : x
  2. Step 2: Convert to fraction form
    372.90/514.64 = 207.14/x
  3. Step 3: Cross multiply
    372.90x = 514.64 × 207.14
  4. Step 4: Simplify right side
    372.90x = 106,598.92
  5. Step 5: Solve for x
    x = 106,598.92/372.90
  6. Step 6: Final answer
    x = 285.86

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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.