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Finding the Fourth Proportional to 144.46, 216.46 and 98.12

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Solution

The fourth proportional to 144.46, 216.46 and 98.12 is: 147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.46 : 216.46 = 98.12 : x
  2. Step 2: Convert to fraction form
    144.46/216.46 = 98.12/x
  3. Step 3: Cross multiply
    144.46x = 216.46 × 98.12
  4. Step 4: Simplify right side
    144.46x = 21,239.31
  5. Step 5: Solve for x
    x = 21,239.31/144.46
  6. Step 6: Final answer
    x = 147.03

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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.