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Finding the Fourth Proportional to 65.39, 98.53 and 54.23

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Solution

The fourth proportional to 65.39, 98.53 and 54.23 is: 81.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.39 : 98.53 = 54.23 : x
  2. Step 2: Convert to fraction form
    65.39/98.53 = 54.23/x
  3. Step 3: Cross multiply
    65.39x = 98.53 × 54.23
  4. Step 4: Simplify right side
    65.39x = 5,343.28
  5. Step 5: Solve for x
    x = 5,343.28/65.39
  6. Step 6: Final answer
    x = 81.71

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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.