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Finding the Fourth Proportional to 220.25, 303.81 and 146.54

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Solution

The fourth proportional to 220.25, 303.81 and 146.54 is: 202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.25 : 303.81 = 146.54 : x
  2. Step 2: Convert to fraction form
    220.25/303.81 = 146.54/x
  3. Step 3: Cross multiply
    220.25x = 303.81 × 146.54
  4. Step 4: Simplify right side
    220.25x = 44,520.32
  5. Step 5: Solve for x
    x = 44,520.32/220.25
  6. Step 6: Final answer
    x = 202.14

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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.