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Finding the Fourth Proportional to 97.46, 145.96 and 77.11

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Solution

The fourth proportional to 97.46, 145.96 and 77.11 is: 115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.46 : 145.96 = 77.11 : x
  2. Step 2: Convert to fraction form
    97.46/145.96 = 77.11/x
  3. Step 3: Cross multiply
    97.46x = 145.96 × 77.11
  4. Step 4: Simplify right side
    97.46x = 11,254.98
  5. Step 5: Solve for x
    x = 11,254.98/97.46
  6. Step 6: Final answer
    x = 115.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.