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Finding the Fourth Proportional to 375.68, 560.80 and 343.28

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Solution

The fourth proportional to 375.68, 560.80 and 343.28 is: 512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.68 : 560.80 = 343.28 : x
  2. Step 2: Convert to fraction form
    375.68/560.80 = 343.28/x
  3. Step 3: Cross multiply
    375.68x = 560.80 × 343.28
  4. Step 4: Simplify right side
    375.68x = 192,511.42
  5. Step 5: Solve for x
    x = 192,511.42/375.68
  6. Step 6: Final answer
    x = 512.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.