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Finding the Fourth Proportional to 169.39, 233.78 and 130.11

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Solution

The fourth proportional to 169.39, 233.78 and 130.11 is: 179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.39 : 233.78 = 130.11 : x
  2. Step 2: Convert to fraction form
    169.39/233.78 = 130.11/x
  3. Step 3: Cross multiply
    169.39x = 233.78 × 130.11
  4. Step 4: Simplify right side
    169.39x = 30,417.12
  5. Step 5: Solve for x
    x = 30,417.12/169.39
  6. Step 6: Final answer
    x = 179.57

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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.