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Finding the Fourth Proportional to 61.22, 83.84 and 60.21

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Solution

The fourth proportional to 61.22, 83.84 and 60.21 is: 82.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.22 : 83.84 = 60.21 : x
  2. Step 2: Convert to fraction form
    61.22/83.84 = 60.21/x
  3. Step 3: Cross multiply
    61.22x = 83.84 × 60.21
  4. Step 4: Simplify right side
    61.22x = 5,047.71
  5. Step 5: Solve for x
    x = 5,047.71/61.22
  6. Step 6: Final answer
    x = 82.45

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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.