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Finding the Fourth Proportional to 212.68, 316.53 and 211.40

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Solution

The fourth proportional to 212.68, 316.53 and 211.40 is: 314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.68 : 316.53 = 211.40 : x
  2. Step 2: Convert to fraction form
    212.68/316.53 = 211.40/x
  3. Step 3: Cross multiply
    212.68x = 316.53 × 211.40
  4. Step 4: Simplify right side
    212.68x = 66,914.44
  5. Step 5: Solve for x
    x = 66,914.44/212.68
  6. Step 6: Final answer
    x = 314.62

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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.