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Finding the Fourth Proportional to 363.86, 543.71 and 355.65

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Solution

The fourth proportional to 363.86, 543.71 and 355.65 is: 531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.86 : 543.71 = 355.65 : x
  2. Step 2: Convert to fraction form
    363.86/543.71 = 355.65/x
  3. Step 3: Cross multiply
    363.86x = 543.71 × 355.65
  4. Step 4: Simplify right side
    363.86x = 193,370.46
  5. Step 5: Solve for x
    x = 193,370.46/363.86
  6. Step 6: Final answer
    x = 531.44

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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.