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Finding the Fourth Proportional to 212.31, 316.35 and 204.48

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Solution

The fourth proportional to 212.31, 316.35 and 204.48 is: 304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.31 : 316.35 = 204.48 : x
  2. Step 2: Convert to fraction form
    212.31/316.35 = 204.48/x
  3. Step 3: Cross multiply
    212.31x = 316.35 × 204.48
  4. Step 4: Simplify right side
    212.31x = 64,687.25
  5. Step 5: Solve for x
    x = 64,687.25/212.31
  6. Step 6: Final answer
    x = 304.68

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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.