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Finding the Fourth Proportional to 131.54, 196.84 and 98.84

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Solution

The fourth proportional to 131.54, 196.84 and 98.84 is: 147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.54 : 196.84 = 98.84 : x
  2. Step 2: Convert to fraction form
    131.54/196.84 = 98.84/x
  3. Step 3: Cross multiply
    131.54x = 196.84 × 98.84
  4. Step 4: Simplify right side
    131.54x = 19,455.67
  5. Step 5: Solve for x
    x = 19,455.67/131.54
  6. Step 6: Final answer
    x = 147.91

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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.