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Finding the Fourth Proportional to 172.26, 256.86 and 165.77

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Solution

The fourth proportional to 172.26, 256.86 and 165.77 is: 247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.26 : 256.86 = 165.77 : x
  2. Step 2: Convert to fraction form
    172.26/256.86 = 165.77/x
  3. Step 3: Cross multiply
    172.26x = 256.86 × 165.77
  4. Step 4: Simplify right side
    172.26x = 42,579.85
  5. Step 5: Solve for x
    x = 42,579.85/172.26
  6. Step 6: Final answer
    x = 247.18

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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.