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Finding the Fourth Proportional to 169.02, 233.25 and 103.50

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Solution

The fourth proportional to 169.02, 233.25 and 103.50 is: 142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.02 : 233.25 = 103.50 : x
  2. Step 2: Convert to fraction form
    169.02/233.25 = 103.50/x
  3. Step 3: Cross multiply
    169.02x = 233.25 × 103.50
  4. Step 4: Simplify right side
    169.02x = 24,141.38
  5. Step 5: Solve for x
    x = 24,141.38/169.02
  6. Step 6: Final answer
    x = 142.83

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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.