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Finding the Fourth Proportional to 172.55, 257.67 and 149.78

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Solution

The fourth proportional to 172.55, 257.67 and 149.78 is: 223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.55 : 257.67 = 149.78 : x
  2. Step 2: Convert to fraction form
    172.55/257.67 = 149.78/x
  3. Step 3: Cross multiply
    172.55x = 257.67 × 149.78
  4. Step 4: Simplify right side
    172.55x = 38,593.06
  5. Step 5: Solve for x
    x = 38,593.06/172.55
  6. Step 6: Final answer
    x = 223.66

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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.