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Finding the Fourth Proportional to 212.42, 316.09 and 211.70

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Solution

The fourth proportional to 212.42, 316.09 and 211.70 is: 315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.42 : 316.09 = 211.70 : x
  2. Step 2: Convert to fraction form
    212.42/316.09 = 211.70/x
  3. Step 3: Cross multiply
    212.42x = 316.09 × 211.70
  4. Step 4: Simplify right side
    212.42x = 66,916.25
  5. Step 5: Solve for x
    x = 66,916.25/212.42
  6. Step 6: Final answer
    x = 315.02

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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.