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Finding the Fourth Proportional to 97.64, 146.47 and 77.32

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Solution

The fourth proportional to 97.64, 146.47 and 77.32 is: 115.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.64 : 146.47 = 77.32 : x
  2. Step 2: Convert to fraction form
    97.64/146.47 = 77.32/x
  3. Step 3: Cross multiply
    97.64x = 146.47 × 77.32
  4. Step 4: Simplify right side
    97.64x = 11,325.06
  5. Step 5: Solve for x
    x = 11,325.06/97.64
  6. Step 6: Final answer
    x = 115.99

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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.