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Finding the Fourth Proportional to 39.85, 60 and 34.84

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Solution

The fourth proportional to 39.85, 60 and 34.84 is: 52.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.85 : 60 = 34.84 : x
  2. Step 2: Convert to fraction form
    39.85/60 = 34.84/x
  3. Step 3: Cross multiply
    39.85x = 60 × 34.84
  4. Step 4: Simplify right side
    39.85x = 2,090.10
  5. Step 5: Solve for x
    x = 2,090.10/39.85
  6. Step 6: Final answer
    x = 52.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.