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Finding the Fourth Proportional to 65.12, 98.01 and 54.36

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Solution

The fourth proportional to 65.12, 98.01 and 54.36 is: 81.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 98.01 = 54.36 : x
  2. Step 2: Convert to fraction form
    65.12/98.01 = 54.36/x
  3. Step 3: Cross multiply
    65.12x = 98.01 × 54.36
  4. Step 4: Simplify right side
    65.12x = 5,327.82
  5. Step 5: Solve for x
    x = 5,327.82/65.12
  6. Step 6: Final answer
    x = 81.82

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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.