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Finding the Fourth Proportional to 280.65, 419.18 and 219.13

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Solution

The fourth proportional to 280.65, 419.18 and 219.13 is: 327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.65 : 419.18 = 219.13 : x
  2. Step 2: Convert to fraction form
    280.65/419.18 = 219.13/x
  3. Step 3: Cross multiply
    280.65x = 419.18 × 219.13
  4. Step 4: Simplify right side
    280.65x = 91,854.91
  5. Step 5: Solve for x
    x = 91,854.91/280.65
  6. Step 6: Final answer
    x = 327.29

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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.