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Finding the Fourth Proportional to 171.80, 257.49 and 84.00

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Solution

The fourth proportional to 171.80, 257.49 and 84.00 is: 125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.80 : 257.49 = 84.00 : x
  2. Step 2: Convert to fraction form
    171.80/257.49 = 84.00/x
  3. Step 3: Cross multiply
    171.80x = 257.49 × 84.00
  4. Step 4: Simplify right side
    171.80x = 21,628.61
  5. Step 5: Solve for x
    x = 21,628.61/171.80
  6. Step 6: Final answer
    x = 125.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.