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Finding the Fourth Proportional to 212.56, 291.61 and 202.23

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Solution

The fourth proportional to 212.56, 291.61 and 202.23 is: 277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.56 : 291.61 = 202.23 : x
  2. Step 2: Convert to fraction form
    212.56/291.61 = 202.23/x
  3. Step 3: Cross multiply
    212.56x = 291.61 × 202.23
  4. Step 4: Simplify right side
    212.56x = 58,972.54
  5. Step 5: Solve for x
    x = 58,972.54/212.56
  6. Step 6: Final answer
    x = 277.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.