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Finding the Fourth Proportional to 169.68, 255.54 and 154.32

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Solution

The fourth proportional to 169.68, 255.54 and 154.32 is: 232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.68 : 255.54 = 154.32 : x
  2. Step 2: Convert to fraction form
    169.68/255.54 = 154.32/x
  3. Step 3: Cross multiply
    169.68x = 255.54 × 154.32
  4. Step 4: Simplify right side
    169.68x = 39,434.93
  5. Step 5: Solve for x
    x = 39,434.93/169.68
  6. Step 6: Final answer
    x = 232.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.