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Finding the Fourth Proportional to 220.49, 304.13 and 146.90

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Solution

The fourth proportional to 220.49, 304.13 and 146.90 is: 202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.49 : 304.13 = 146.90 : x
  2. Step 2: Convert to fraction form
    220.49/304.13 = 146.90/x
  3. Step 3: Cross multiply
    220.49x = 304.13 × 146.90
  4. Step 4: Simplify right side
    220.49x = 44,674.44
  5. Step 5: Solve for x
    x = 44,674.44/220.49
  6. Step 6: Final answer
    x = 202.62

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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.