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Finding the Fourth Proportional to 172.65, 258.50 and 91.31

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Solution

The fourth proportional to 172.65, 258.50 and 91.31 is: 136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.65 : 258.50 = 91.31 : x
  2. Step 2: Convert to fraction form
    172.65/258.50 = 91.31/x
  3. Step 3: Cross multiply
    172.65x = 258.50 × 91.31
  4. Step 4: Simplify right side
    172.65x = 23,603.64
  5. Step 5: Solve for x
    x = 23,603.64/172.65
  6. Step 6: Final answer
    x = 136.71

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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.