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Finding the Fourth Proportional to 247.07, 340.91 and 142.13

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Solution

The fourth proportional to 247.07, 340.91 and 142.13 is: 196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.07 : 340.91 = 142.13 : x
  2. Step 2: Convert to fraction form
    247.07/340.91 = 142.13/x
  3. Step 3: Cross multiply
    247.07x = 340.91 × 142.13
  4. Step 4: Simplify right side
    247.07x = 48,451.12
  5. Step 5: Solve for x
    x = 48,451.12/247.07
  6. Step 6: Final answer
    x = 196.11

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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.