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Finding the Fourth Proportional to 172.29, 259.35 and 149.97

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Solution

The fourth proportional to 172.29, 259.35 and 149.97 is: 225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.29 : 259.35 = 149.97 : x
  2. Step 2: Convert to fraction form
    172.29/259.35 = 149.97/x
  3. Step 3: Cross multiply
    172.29x = 259.35 × 149.97
  4. Step 4: Simplify right side
    172.29x = 38,894.72
  5. Step 5: Solve for x
    x = 38,894.72/172.29
  6. Step 6: Final answer
    x = 225.75

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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.