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Finding the Fourth Proportional to 65.67, 90.09 and 60.20

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Solution

The fourth proportional to 65.67, 90.09 and 60.20 is: 82.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.67 : 90.09 = 60.20 : x
  2. Step 2: Convert to fraction form
    65.67/90.09 = 60.20/x
  3. Step 3: Cross multiply
    65.67x = 90.09 × 60.20
  4. Step 4: Simplify right side
    65.67x = 5,422.97
  5. Step 5: Solve for x
    x = 5,422.97/65.67
  6. Step 6: Final answer
    x = 82.58

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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.