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Finding the Fourth Proportional to 375.72, 560.53 and 363.56

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Solution

The fourth proportional to 375.72, 560.53 and 363.56 is: 542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.72 : 560.53 = 363.56 : x
  2. Step 2: Convert to fraction form
    375.72/560.53 = 363.56/x
  3. Step 3: Cross multiply
    375.72x = 560.53 × 363.56
  4. Step 4: Simplify right side
    375.72x = 203,786.29
  5. Step 5: Solve for x
    x = 203,786.29/375.72
  6. Step 6: Final answer
    x = 542.39

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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.