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Finding the Fourth Proportional to 146.44, 202.03 and 88.21

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Solution

The fourth proportional to 146.44, 202.03 and 88.21 is: 121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.44 : 202.03 = 88.21 : x
  2. Step 2: Convert to fraction form
    146.44/202.03 = 88.21/x
  3. Step 3: Cross multiply
    146.44x = 202.03 × 88.21
  4. Step 4: Simplify right side
    146.44x = 17,821.07
  5. Step 5: Solve for x
    x = 17,821.07/146.44
  6. Step 6: Final answer
    x = 121.70

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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.