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Finding the Fourth Proportional to 169.83, 233.82 and 155.12

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Solution

The fourth proportional to 169.83, 233.82 and 155.12 is: 213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.83 : 233.82 = 155.12 : x
  2. Step 2: Convert to fraction form
    169.83/233.82 = 155.12/x
  3. Step 3: Cross multiply
    169.83x = 233.82 × 155.12
  4. Step 4: Simplify right side
    169.83x = 36,268.99
  5. Step 5: Solve for x
    x = 36,268.99/169.83
  6. Step 6: Final answer
    x = 213.56

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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.