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Finding the Fourth Proportional to 210.76, 292.18 and 199.65

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Solution

The fourth proportional to 210.76, 292.18 and 199.65 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.76 : 292.18 = 199.65 : x
  2. Step 2: Convert to fraction form
    210.76/292.18 = 199.65/x
  3. Step 3: Cross multiply
    210.76x = 292.18 × 199.65
  4. Step 4: Simplify right side
    210.76x = 58,333.74
  5. Step 5: Solve for x
    x = 58,333.74/210.76
  6. Step 6: Final answer
    x = 276.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.