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Finding the Fourth Proportional to 141.90, 213.04 and 98.45

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Solution

The fourth proportional to 141.90, 213.04 and 98.45 is: 147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.90 : 213.04 = 98.45 : x
  2. Step 2: Convert to fraction form
    141.90/213.04 = 98.45/x
  3. Step 3: Cross multiply
    141.90x = 213.04 × 98.45
  4. Step 4: Simplify right side
    141.90x = 20,974.84
  5. Step 5: Solve for x
    x = 20,974.84/141.90
  6. Step 6: Final answer
    x = 147.82

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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.