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Finding the Fourth Proportional to 98.52, 146.46 and 97.98

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Solution

The fourth proportional to 98.52, 146.46 and 97.98 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.52 : 146.46 = 97.98 : x
  2. Step 2: Convert to fraction form
    98.52/146.46 = 97.98/x
  3. Step 3: Cross multiply
    98.52x = 146.46 × 97.98
  4. Step 4: Simplify right side
    98.52x = 14,350.15
  5. Step 5: Solve for x
    x = 14,350.15/98.52
  6. Step 6: Final answer
    x = 145.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.