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Finding the Fourth Proportional to 212.96, 317.43 and 189.70

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Solution

The fourth proportional to 212.96, 317.43 and 189.70 is: 282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 317.43 = 189.70 : x
  2. Step 2: Convert to fraction form
    212.96/317.43 = 189.70/x
  3. Step 3: Cross multiply
    212.96x = 317.43 × 189.70
  4. Step 4: Simplify right side
    212.96x = 60,216.47
  5. Step 5: Solve for x
    x = 60,216.47/212.96
  6. Step 6: Final answer
    x = 282.76

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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.