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Finding the Fourth Proportional to 372.68, 514.14 and 261.98

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Solution

The fourth proportional to 372.68, 514.14 and 261.98 is: 361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.68 : 514.14 = 261.98 : x
  2. Step 2: Convert to fraction form
    372.68/514.14 = 261.98/x
  3. Step 3: Cross multiply
    372.68x = 514.14 × 261.98
  4. Step 4: Simplify right side
    372.68x = 134,694.40
  5. Step 5: Solve for x
    x = 134,694.40/372.68
  6. Step 6: Final answer
    x = 361.42

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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.