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Finding the Fourth Proportional to 155.81, 233.98 and 107.75

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Solution

The fourth proportional to 155.81, 233.98 and 107.75 is: 161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.81 : 233.98 = 107.75 : x
  2. Step 2: Convert to fraction form
    155.81/233.98 = 107.75/x
  3. Step 3: Cross multiply
    155.81x = 233.98 × 107.75
  4. Step 4: Simplify right side
    155.81x = 25,209.91
  5. Step 5: Solve for x
    x = 25,209.91/155.81
  6. Step 6: Final answer
    x = 161.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.