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Finding the Fourth Proportional to 97.51, 146.29 and 36.64

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Solution

The fourth proportional to 97.51, 146.29 and 36.64 is: 54.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.51 : 146.29 = 36.64 : x
  2. Step 2: Convert to fraction form
    97.51/146.29 = 36.64/x
  3. Step 3: Cross multiply
    97.51x = 146.29 × 36.64
  4. Step 4: Simplify right side
    97.51x = 5,360.43
  5. Step 5: Solve for x
    x = 5,360.43/97.51
  6. Step 6: Final answer
    x = 54.97

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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.