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Finding the Fourth Proportional to 172.99, 260.35 and 129.88

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Solution

The fourth proportional to 172.99, 260.35 and 129.88 is: 195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.99 : 260.35 = 129.88 : x
  2. Step 2: Convert to fraction form
    172.99/260.35 = 129.88/x
  3. Step 3: Cross multiply
    172.99x = 260.35 × 129.88
  4. Step 4: Simplify right side
    172.99x = 33,814.26
  5. Step 5: Solve for x
    x = 33,814.26/172.99
  6. Step 6: Final answer
    x = 195.47

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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.