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Finding the Fourth Proportional to 65.73, 98.94 and 51.37

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Solution

The fourth proportional to 65.73, 98.94 and 51.37 is: 77.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.73 : 98.94 = 51.37 : x
  2. Step 2: Convert to fraction form
    65.73/98.94 = 51.37/x
  3. Step 3: Cross multiply
    65.73x = 98.94 × 51.37
  4. Step 4: Simplify right side
    65.73x = 5,082.55
  5. Step 5: Solve for x
    x = 5,082.55/65.73
  6. Step 6: Final answer
    x = 77.32

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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.