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Finding the Fourth Proportional to 414.72, 621.57 and 208.98

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Solution

The fourth proportional to 414.72, 621.57 and 208.98 is: 313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 621.57 = 208.98 : x
  2. Step 2: Convert to fraction form
    414.72/621.57 = 208.98/x
  3. Step 3: Cross multiply
    414.72x = 621.57 × 208.98
  4. Step 4: Simplify right side
    414.72x = 129,895.70
  5. Step 5: Solve for x
    x = 129,895.70/414.72
  6. Step 6: Final answer
    x = 313.21

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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.