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Finding the Fourth Proportional to 172.11, 256.84 and 153.88

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Solution

The fourth proportional to 172.11, 256.84 and 153.88 is: 229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.11 : 256.84 = 153.88 : x
  2. Step 2: Convert to fraction form
    172.11/256.84 = 153.88/x
  3. Step 3: Cross multiply
    172.11x = 256.84 × 153.88
  4. Step 4: Simplify right side
    172.11x = 39,522.54
  5. Step 5: Solve for x
    x = 39,522.54/172.11
  6. Step 6: Final answer
    x = 229.64

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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.