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Finding the Fourth Proportional to 69.36, 96.15 and 65.22

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Solution

The fourth proportional to 69.36, 96.15 and 65.22 is: 90.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.36 : 96.15 = 65.22 : x
  2. Step 2: Convert to fraction form
    69.36/96.15 = 65.22/x
  3. Step 3: Cross multiply
    69.36x = 96.15 × 65.22
  4. Step 4: Simplify right side
    69.36x = 6,270.90
  5. Step 5: Solve for x
    x = 6,270.90/69.36
  6. Step 6: Final answer
    x = 90.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.