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Finding the Fourth Proportional to 219.20, 330.16 and 183.68

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Solution

The fourth proportional to 219.20, 330.16 and 183.68 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.20 : 330.16 = 183.68 : x
  2. Step 2: Convert to fraction form
    219.20/330.16 = 183.68/x
  3. Step 3: Cross multiply
    219.20x = 330.16 × 183.68
  4. Step 4: Simplify right side
    219.20x = 60,643.79
  5. Step 5: Solve for x
    x = 60,643.79/219.20
  6. Step 6: Final answer
    x = 276.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.