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Finding the Fourth Proportional to 373.74, 515.66 and 280.80

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Solution

The fourth proportional to 373.74, 515.66 and 280.80 is: 387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.74 : 515.66 = 280.80 : x
  2. Step 2: Convert to fraction form
    373.74/515.66 = 280.80/x
  3. Step 3: Cross multiply
    373.74x = 515.66 × 280.80
  4. Step 4: Simplify right side
    373.74x = 144,795.92
  5. Step 5: Solve for x
    x = 144,795.92/373.74
  6. Step 6: Final answer
    x = 387.42

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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.