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Finding the Fourth Proportional to 69.31, 95.64 and 40.19

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Solution

The fourth proportional to 69.31, 95.64 and 40.19 is: 55.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.31 : 95.64 = 40.19 : x
  2. Step 2: Convert to fraction form
    69.31/95.64 = 40.19/x
  3. Step 3: Cross multiply
    69.31x = 95.64 × 40.19
  4. Step 4: Simplify right side
    69.31x = 3,843.77
  5. Step 5: Solve for x
    x = 3,843.77/69.31
  6. Step 6: Final answer
    x = 55.46

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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.