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Finding the Fourth Proportional to 373.75, 560.76 and 343.78

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Solution

The fourth proportional to 373.75, 560.76 and 343.78 is: 515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.75 : 560.76 = 343.78 : x
  2. Step 2: Convert to fraction form
    373.75/560.76 = 343.78/x
  3. Step 3: Cross multiply
    373.75x = 560.76 × 343.78
  4. Step 4: Simplify right side
    373.75x = 192,778.07
  5. Step 5: Solve for x
    x = 192,778.07/373.75
  6. Step 6: Final answer
    x = 515.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.