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Finding the Fourth Proportional to 96.08, 144.03 and 78.98

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Solution

The fourth proportional to 96.08, 144.03 and 78.98 is: 118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.08 : 144.03 = 78.98 : x
  2. Step 2: Convert to fraction form
    96.08/144.03 = 78.98/x
  3. Step 3: Cross multiply
    96.08x = 144.03 × 78.98
  4. Step 4: Simplify right side
    96.08x = 11,375.49
  5. Step 5: Solve for x
    x = 11,375.49/96.08
  6. Step 6: Final answer
    x = 118.40

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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.