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Finding the Fourth Proportional to 172.19, 256.96 and 149.33

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Solution

The fourth proportional to 172.19, 256.96 and 149.33 is: 222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.19 : 256.96 = 149.33 : x
  2. Step 2: Convert to fraction form
    172.19/256.96 = 149.33/x
  3. Step 3: Cross multiply
    172.19x = 256.96 × 149.33
  4. Step 4: Simplify right side
    172.19x = 38,371.84
  5. Step 5: Solve for x
    x = 38,371.84/172.19
  6. Step 6: Final answer
    x = 222.85

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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.