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Finding the Fourth Proportional to 76.33, 105.31 and 43.57

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Solution

The fourth proportional to 76.33, 105.31 and 43.57 is: 60.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.33 : 105.31 = 43.57 : x
  2. Step 2: Convert to fraction form
    76.33/105.31 = 43.57/x
  3. Step 3: Cross multiply
    76.33x = 105.31 × 43.57
  4. Step 4: Simplify right side
    76.33x = 4,588.36
  5. Step 5: Solve for x
    x = 4,588.36/76.33
  6. Step 6: Final answer
    x = 60.11

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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.