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Finding the Fourth Proportional to 212.37, 316.90 and 195.09

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Solution

The fourth proportional to 212.37, 316.90 and 195.09 is: 291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.37 : 316.90 = 195.09 : x
  2. Step 2: Convert to fraction form
    212.37/316.90 = 195.09/x
  3. Step 3: Cross multiply
    212.37x = 316.90 × 195.09
  4. Step 4: Simplify right side
    212.37x = 61,824.02
  5. Step 5: Solve for x
    x = 61,824.02/212.37
  6. Step 6: Final answer
    x = 291.11

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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.