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Finding the Fourth Proportional to 171.92, 259.06 and 142.15

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Solution

The fourth proportional to 171.92, 259.06 and 142.15 is: 214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.92 : 259.06 = 142.15 : x
  2. Step 2: Convert to fraction form
    171.92/259.06 = 142.15/x
  3. Step 3: Cross multiply
    171.92x = 259.06 × 142.15
  4. Step 4: Simplify right side
    171.92x = 36,824.67
  5. Step 5: Solve for x
    x = 36,824.67/171.92
  6. Step 6: Final answer
    x = 214.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.