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Finding the Fourth Proportional to 98.69, 146.98 and 97.48

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Solution

The fourth proportional to 98.69, 146.98 and 97.48 is: 145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.69 : 146.98 = 97.48 : x
  2. Step 2: Convert to fraction form
    98.69/146.98 = 97.48/x
  3. Step 3: Cross multiply
    98.69x = 146.98 × 97.48
  4. Step 4: Simplify right side
    98.69x = 14,327.92
  5. Step 5: Solve for x
    x = 14,327.92/98.69
  6. Step 6: Final answer
    x = 145.19

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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.