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Finding the Fourth Proportional to 414.32, 621.59 and 208.64

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Solution

The fourth proportional to 414.32, 621.59 and 208.64 is: 313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.32 : 621.59 = 208.64 : x
  2. Step 2: Convert to fraction form
    414.32/621.59 = 208.64/x
  3. Step 3: Cross multiply
    414.32x = 621.59 × 208.64
  4. Step 4: Simplify right side
    414.32x = 129,688.54
  5. Step 5: Solve for x
    x = 129,688.54/414.32
  6. Step 6: Final answer
    x = 313.02

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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.