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Finding the Fourth Proportional to 340.75, 470.85 and 252.11

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Solution

The fourth proportional to 340.75, 470.85 and 252.11 is: 348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.75 : 470.85 = 252.11 : x
  2. Step 2: Convert to fraction form
    340.75/470.85 = 252.11/x
  3. Step 3: Cross multiply
    340.75x = 470.85 × 252.11
  4. Step 4: Simplify right side
    340.75x = 118,702.38
  5. Step 5: Solve for x
    x = 118,702.38/340.75
  6. Step 6: Final answer
    x = 348.36

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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.