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Finding the Fourth Proportional to 98.18, 148 and 97.78

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Solution

The fourth proportional to 98.18, 148 and 97.78 is: 147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.18 : 148 = 97.78 : x
  2. Step 2: Convert to fraction form
    98.18/148 = 97.78/x
  3. Step 3: Cross multiply
    98.18x = 148 × 97.78
  4. Step 4: Simplify right side
    98.18x = 14,471.44
  5. Step 5: Solve for x
    x = 14,471.44/98.18
  6. Step 6: Final answer
    x = 147.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.