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Finding the Fourth Proportional to 363.87, 542.95 and 341.82

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Solution

The fourth proportional to 363.87, 542.95 and 341.82 is: 510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.87 : 542.95 = 341.82 : x
  2. Step 2: Convert to fraction form
    363.87/542.95 = 341.82/x
  3. Step 3: Cross multiply
    363.87x = 542.95 × 341.82
  4. Step 4: Simplify right side
    363.87x = 185,590.31
  5. Step 5: Solve for x
    x = 185,590.31/363.87
  6. Step 6: Final answer
    x = 510.05

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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.