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Finding the Fourth Proportional to 252.02, 376.12 and 220.70

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Solution

The fourth proportional to 252.02, 376.12 and 220.70 is: 329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.02 : 376.12 = 220.70 : x
  2. Step 2: Convert to fraction form
    252.02/376.12 = 220.70/x
  3. Step 3: Cross multiply
    252.02x = 376.12 × 220.70
  4. Step 4: Simplify right side
    252.02x = 83,009.68
  5. Step 5: Solve for x
    x = 83,009.68/252.02
  6. Step 6: Final answer
    x = 329.38

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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.