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Finding the Fourth Proportional to 98.15, 146.54 and 80.06

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Solution

The fourth proportional to 98.15, 146.54 and 80.06 is: 119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.15 : 146.54 = 80.06 : x
  2. Step 2: Convert to fraction form
    98.15/146.54 = 80.06/x
  3. Step 3: Cross multiply
    98.15x = 146.54 × 80.06
  4. Step 4: Simplify right side
    98.15x = 11,731.46
  5. Step 5: Solve for x
    x = 11,731.46/98.15
  6. Step 6: Final answer
    x = 119.53

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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.