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Finding the Fourth Proportional to 69.31, 103.28 and 65.81

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Solution

The fourth proportional to 69.31, 103.28 and 65.81 is: 98.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.31 : 103.28 = 65.81 : x
  2. Step 2: Convert to fraction form
    69.31/103.28 = 65.81/x
  3. Step 3: Cross multiply
    69.31x = 103.28 × 65.81
  4. Step 4: Simplify right side
    69.31x = 6,796.79
  5. Step 5: Solve for x
    x = 6,796.79/69.31
  6. Step 6: Final answer
    x = 98.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.