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Finding the Fourth Proportional to 362.86, 542.22 and 354.65

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Solution

The fourth proportional to 362.86, 542.22 and 354.65 is: 529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.86 : 542.22 = 354.65 : x
  2. Step 2: Convert to fraction form
    362.86/542.22 = 354.65/x
  3. Step 3: Cross multiply
    362.86x = 542.22 × 354.65
  4. Step 4: Simplify right side
    362.86x = 192,296.55
  5. Step 5: Solve for x
    x = 192,296.55/362.86
  6. Step 6: Final answer
    x = 529.95

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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.