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Finding the Fourth Proportional to 146.47, 202.13 and 80.98

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Solution

The fourth proportional to 146.47, 202.13 and 80.98 is: 111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.47 : 202.13 = 80.98 : x
  2. Step 2: Convert to fraction form
    146.47/202.13 = 80.98/x
  3. Step 3: Cross multiply
    146.47x = 202.13 × 80.98
  4. Step 4: Simplify right side
    146.47x = 16,367.07
  5. Step 5: Solve for x
    x = 16,367.07/146.47
  6. Step 6: Final answer
    x = 111.74

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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.