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Finding the Fourth Proportional to 98.96, 148.78 and 78.92

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Solution

The fourth proportional to 98.96, 148.78 and 78.92 is: 118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.96 : 148.78 = 78.92 : x
  2. Step 2: Convert to fraction form
    98.96/148.78 = 78.92/x
  3. Step 3: Cross multiply
    98.96x = 148.78 × 78.92
  4. Step 4: Simplify right side
    98.96x = 11,741.72
  5. Step 5: Solve for x
    x = 11,741.72/98.96
  6. Step 6: Final answer
    x = 118.65

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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.