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Finding the Fourth Proportional to 363.99, 542.52 and 343.49

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Solution

The fourth proportional to 363.99, 542.52 and 343.49 is: 511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.99 : 542.52 = 343.49 : x
  2. Step 2: Convert to fraction form
    363.99/542.52 = 343.49/x
  3. Step 3: Cross multiply
    363.99x = 542.52 × 343.49
  4. Step 4: Simplify right side
    363.99x = 186,347.48
  5. Step 5: Solve for x
    x = 186,347.48/363.99
  6. Step 6: Final answer
    x = 511.96

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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.