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Finding the Fourth Proportional to 207.92, 287.06 and 142.52

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Solution

The fourth proportional to 207.92, 287.06 and 142.52 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.92 : 287.06 = 142.52 : x
  2. Step 2: Convert to fraction form
    207.92/287.06 = 142.52/x
  3. Step 3: Cross multiply
    207.92x = 287.06 × 142.52
  4. Step 4: Simplify right side
    207.92x = 40,911.79
  5. Step 5: Solve for x
    x = 40,911.79/207.92
  6. Step 6: Final answer
    x = 196.77

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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.