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Finding the Fourth Proportional to 252.10, 340.61 and 252.10

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Solution

The fourth proportional to 252.10, 340.61 and 252.10 is: 340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.10 : 340.61 = 252.10 : x
  2. Step 2: Convert to fraction form
    252.10/340.61 = 252.10/x
  3. Step 3: Cross multiply
    252.10x = 340.61 × 252.10
  4. Step 4: Simplify right side
    252.10x = 85,867.78
  5. Step 5: Solve for x
    x = 85,867.78/252.10
  6. Step 6: Final answer
    x = 340.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.