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Finding the Fourth Proportional to 61.80, 84.54 and 61.08

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Solution

The fourth proportional to 61.80, 84.54 and 61.08 is: 83.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.80 : 84.54 = 61.08 : x
  2. Step 2: Convert to fraction form
    61.80/84.54 = 61.08/x
  3. Step 3: Cross multiply
    61.80x = 84.54 × 61.08
  4. Step 4: Simplify right side
    61.80x = 5,163.70
  5. Step 5: Solve for x
    x = 5,163.70/61.80
  6. Step 6: Final answer
    x = 83.56

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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.