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Finding the Fourth Proportional to 375.90, 561.62 and 363.14

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Solution

The fourth proportional to 375.90, 561.62 and 363.14 is: 542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.90 : 561.62 = 363.14 : x
  2. Step 2: Convert to fraction form
    375.90/561.62 = 363.14/x
  3. Step 3: Cross multiply
    375.90x = 561.62 × 363.14
  4. Step 4: Simplify right side
    375.90x = 203,946.69
  5. Step 5: Solve for x
    x = 203,946.69/375.90
  6. Step 6: Final answer
    x = 542.56

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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.