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Finding the Fourth Proportional to 372.84, 514.34 and 289.80

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Solution

The fourth proportional to 372.84, 514.34 and 289.80 is: 399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.84 : 514.34 = 289.80 : x
  2. Step 2: Convert to fraction form
    372.84/514.34 = 289.80/x
  3. Step 3: Cross multiply
    372.84x = 514.34 × 289.80
  4. Step 4: Simplify right side
    372.84x = 149,055.73
  5. Step 5: Solve for x
    x = 149,055.73/372.84
  6. Step 6: Final answer
    x = 399.78

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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.