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Finding the Fourth Proportional to 212, 319.72 and 202.48

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Solution

The fourth proportional to 212, 319.72 and 202.48 is: 305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212 : 319.72 = 202.48 : x
  2. Step 2: Convert to fraction form
    212/319.72 = 202.48/x
  3. Step 3: Cross multiply
    212x = 319.72 × 202.48
  4. Step 4: Simplify right side
    212x = 64,736.91
  5. Step 5: Solve for x
    x = 64,736.91/212
  6. Step 6: Final answer
    x = 305.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.