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Finding the Fourth Proportional to 212.16, 316.72 and 190.56

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Solution

The fourth proportional to 212.16, 316.72 and 190.56 is: 284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.16 : 316.72 = 190.56 : x
  2. Step 2: Convert to fraction form
    212.16/316.72 = 190.56/x
  3. Step 3: Cross multiply
    212.16x = 316.72 × 190.56
  4. Step 4: Simplify right side
    212.16x = 60,354.16
  5. Step 5: Solve for x
    x = 60,354.16/212.16
  6. Step 6: Final answer
    x = 284.47

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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.