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Finding the Fourth Proportional to 97.61, 146.21 and 79.25

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Solution

The fourth proportional to 97.61, 146.21 and 79.25 is: 118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.61 : 146.21 = 79.25 : x
  2. Step 2: Convert to fraction form
    97.61/146.21 = 79.25/x
  3. Step 3: Cross multiply
    97.61x = 146.21 × 79.25
  4. Step 4: Simplify right side
    97.61x = 11,586.02
  5. Step 5: Solve for x
    x = 11,586.02/97.61
  6. Step 6: Final answer
    x = 118.70

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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.