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Finding the Fourth Proportional to 146.98, 202.86 and 97.90

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Solution

The fourth proportional to 146.98, 202.86 and 97.90 is: 135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.98 : 202.86 = 97.90 : x
  2. Step 2: Convert to fraction form
    146.98/202.86 = 97.90/x
  3. Step 3: Cross multiply
    146.98x = 202.86 × 97.90
  4. Step 4: Simplify right side
    146.98x = 19,859.99
  5. Step 5: Solve for x
    x = 19,859.99/146.98
  6. Step 6: Final answer
    x = 135.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.