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Finding the Fourth Proportional to 414.19, 621.32 and 208.65

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Solution

The fourth proportional to 414.19, 621.32 and 208.65 is: 312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.19 : 621.32 = 208.65 : x
  2. Step 2: Convert to fraction form
    414.19/621.32 = 208.65/x
  3. Step 3: Cross multiply
    414.19x = 621.32 × 208.65
  4. Step 4: Simplify right side
    414.19x = 129,638.42
  5. Step 5: Solve for x
    x = 129,638.42/414.19
  6. Step 6: Final answer
    x = 312.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.