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Finding the Fourth Proportional to 60.82, 83.75 and 58.25

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Solution

The fourth proportional to 60.82, 83.75 and 58.25 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.82 : 83.75 = 58.25 : x
  2. Step 2: Convert to fraction form
    60.82/83.75 = 58.25/x
  3. Step 3: Cross multiply
    60.82x = 83.75 × 58.25
  4. Step 4: Simplify right side
    60.82x = 4,878.36
  5. Step 5: Solve for x
    x = 4,878.36/60.82
  6. Step 6: Final answer
    x = 80.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.