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Finding the Fourth Proportional to 69.20, 94.90 and 65.36

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Solution

The fourth proportional to 69.20, 94.90 and 65.36 is: 89.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.20 : 94.90 = 65.36 : x
  2. Step 2: Convert to fraction form
    69.20/94.90 = 65.36/x
  3. Step 3: Cross multiply
    69.20x = 94.90 × 65.36
  4. Step 4: Simplify right side
    69.20x = 6,202.66
  5. Step 5: Solve for x
    x = 6,202.66/69.20
  6. Step 6: Final answer
    x = 89.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.