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Finding the Fourth Proportional to 414.72, 621.84 and 209.16

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Solution

The fourth proportional to 414.72, 621.84 and 209.16 is: 313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 621.84 = 209.16 : x
  2. Step 2: Convert to fraction form
    414.72/621.84 = 209.16/x
  3. Step 3: Cross multiply
    414.72x = 621.84 × 209.16
  4. Step 4: Simplify right side
    414.72x = 130,064.05
  5. Step 5: Solve for x
    x = 130,064.05/414.72
  6. Step 6: Final answer
    x = 313.62

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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.