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Finding the Fourth Proportional to 212.31, 316.89 and 188.01

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Solution

The fourth proportional to 212.31, 316.89 and 188.01 is: 280.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.31 : 316.89 = 188.01 : x
  2. Step 2: Convert to fraction form
    212.31/316.89 = 188.01/x
  3. Step 3: Cross multiply
    212.31x = 316.89 × 188.01
  4. Step 4: Simplify right side
    212.31x = 59,578.49
  5. Step 5: Solve for x
    x = 59,578.49/212.31
  6. Step 6: Final answer
    x = 280.62

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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.