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Finding the Fourth Proportional to 173.13, 258.80 and 129.78

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Solution

The fourth proportional to 173.13, 258.80 and 129.78 is: 194.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.13 : 258.80 = 129.78 : x
  2. Step 2: Convert to fraction form
    173.13/258.80 = 129.78/x
  3. Step 3: Cross multiply
    173.13x = 258.80 × 129.78
  4. Step 4: Simplify right side
    173.13x = 33,587.06
  5. Step 5: Solve for x
    x = 33,587.06/173.13
  6. Step 6: Final answer
    x = 194.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.