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Finding the Fourth Proportional to 169.27, 233.59 and 103.77

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Solution

The fourth proportional to 169.27, 233.59 and 103.77 is: 143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.27 : 233.59 = 103.77 : x
  2. Step 2: Convert to fraction form
    169.27/233.59 = 103.77/x
  3. Step 3: Cross multiply
    169.27x = 233.59 × 103.77
  4. Step 4: Simplify right side
    169.27x = 24,239.63
  5. Step 5: Solve for x
    x = 24,239.63/169.27
  6. Step 6: Final answer
    x = 143.21

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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.