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Finding the Fourth Proportional to 168.19, 232.19 and 128.77

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Solution

The fourth proportional to 168.19, 232.19 and 128.77 is: 177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.19 : 232.19 = 128.77 : x
  2. Step 2: Convert to fraction form
    168.19/232.19 = 128.77/x
  3. Step 3: Cross multiply
    168.19x = 232.19 × 128.77
  4. Step 4: Simplify right side
    168.19x = 29,898.85
  5. Step 5: Solve for x
    x = 29,898.85/168.19
  6. Step 6: Final answer
    x = 177.77

Related Problems

Find fourth proportional to 84.09, 116.10 and 64.38
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.