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Finding the Fourth Proportional to 414.51, 621.60 and 209.21

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Solution

The fourth proportional to 414.51, 621.60 and 209.21 is: 313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.51 : 621.60 = 209.21 : x
  2. Step 2: Convert to fraction form
    414.51/621.60 = 209.21/x
  3. Step 3: Cross multiply
    414.51x = 621.60 × 209.21
  4. Step 4: Simplify right side
    414.51x = 130,041.83
  5. Step 5: Solve for x
    x = 130,041.83/414.51
  6. Step 6: Final answer
    x = 313.72

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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.