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Finding the Fourth Proportional to 172.77, 257.85 and 150.72

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Solution

The fourth proportional to 172.77, 257.85 and 150.72 is: 224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.77 : 257.85 = 150.72 : x
  2. Step 2: Convert to fraction form
    172.77/257.85 = 150.72/x
  3. Step 3: Cross multiply
    172.77x = 257.85 × 150.72
  4. Step 4: Simplify right side
    172.77x = 38,863.15
  5. Step 5: Solve for x
    x = 38,863.15/172.77
  6. Step 6: Final answer
    x = 224.94

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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.