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Finding the Fourth Proportional to 287.75, 431.61 and 105.11

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Solution

The fourth proportional to 287.75, 431.61 and 105.11 is: 157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.75 : 431.61 = 105.11 : x
  2. Step 2: Convert to fraction form
    287.75/431.61 = 105.11/x
  3. Step 3: Cross multiply
    287.75x = 431.61 × 105.11
  4. Step 4: Simplify right side
    287.75x = 45,365.59
  5. Step 5: Solve for x
    x = 45,365.59/287.75
  6. Step 6: Final answer
    x = 157.65

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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.