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Finding the Fourth Proportional to 172.17, 256.82 and 152.73

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Solution

The fourth proportional to 172.17, 256.82 and 152.73 is: 227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.17 : 256.82 = 152.73 : x
  2. Step 2: Convert to fraction form
    172.17/256.82 = 152.73/x
  3. Step 3: Cross multiply
    172.17x = 256.82 × 152.73
  4. Step 4: Simplify right side
    172.17x = 39,223.35
  5. Step 5: Solve for x
    x = 39,223.35/172.17
  6. Step 6: Final answer
    x = 227.82

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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.