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Finding the Fourth Proportional to 373.54, 559.96 and 342.78

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Solution

The fourth proportional to 373.54, 559.96 and 342.78 is: 513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.54 : 559.96 = 342.78 : x
  2. Step 2: Convert to fraction form
    373.54/559.96 = 342.78/x
  3. Step 3: Cross multiply
    373.54x = 559.96 × 342.78
  4. Step 4: Simplify right side
    373.54x = 191,943.09
  5. Step 5: Solve for x
    x = 191,943.09/373.54
  6. Step 6: Final answer
    x = 513.85

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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.