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Finding the Fourth Proportional to 219.96, 328.10 and 212.86

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Solution

The fourth proportional to 219.96, 328.10 and 212.86 is: 317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.96 : 328.10 = 212.86 : x
  2. Step 2: Convert to fraction form
    219.96/328.10 = 212.86/x
  3. Step 3: Cross multiply
    219.96x = 328.10 × 212.86
  4. Step 4: Simplify right side
    219.96x = 69,839.37
  5. Step 5: Solve for x
    x = 69,839.37/219.96
  6. Step 6: Final answer
    x = 317.51

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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.