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Finding the Fourth Proportional to 169.90, 255.77 and 154.78

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Solution

The fourth proportional to 169.90, 255.77 and 154.78 is: 233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.90 : 255.77 = 154.78 : x
  2. Step 2: Convert to fraction form
    169.90/255.77 = 154.78/x
  3. Step 3: Cross multiply
    169.90x = 255.77 × 154.78
  4. Step 4: Simplify right side
    169.90x = 39,588.08
  5. Step 5: Solve for x
    x = 39,588.08/169.90
  6. Step 6: Final answer
    x = 233.01

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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.