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Finding the Fourth Proportional to 360.87, 498 and 213.57

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Solution

The fourth proportional to 360.87, 498 and 213.57 is: 294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.87 : 498 = 213.57 : x
  2. Step 2: Convert to fraction form
    360.87/498 = 213.57/x
  3. Step 3: Cross multiply
    360.87x = 498 × 213.57
  4. Step 4: Simplify right side
    360.87x = 106,357.86
  5. Step 5: Solve for x
    x = 106,357.86/360.87
  6. Step 6: Final answer
    x = 294.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.