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Finding the Fourth Proportional to 374.62, 560.78 and 342.73

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Solution

The fourth proportional to 374.62, 560.78 and 342.73 is: 513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.62 : 560.78 = 342.73 : x
  2. Step 2: Convert to fraction form
    374.62/560.78 = 342.73/x
  3. Step 3: Cross multiply
    374.62x = 560.78 × 342.73
  4. Step 4: Simplify right side
    374.62x = 192,196.13
  5. Step 5: Solve for x
    x = 192,196.13/374.62
  6. Step 6: Final answer
    x = 513.04

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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.