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Finding the Fourth Proportional to 169.31, 233.75 and 111.20

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Solution

The fourth proportional to 169.31, 233.75 and 111.20 is: 153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.31 : 233.75 = 111.20 : x
  2. Step 2: Convert to fraction form
    169.31/233.75 = 111.20/x
  3. Step 3: Cross multiply
    169.31x = 233.75 × 111.20
  4. Step 4: Simplify right side
    169.31x = 25,992.11
  5. Step 5: Solve for x
    x = 25,992.11/169.31
  6. Step 6: Final answer
    x = 153.52

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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.