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Finding the Fourth Proportional to 414.16, 620.93 and 208.67

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Solution

The fourth proportional to 414.16, 620.93 and 208.67 is: 312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.16 : 620.93 = 208.67 : x
  2. Step 2: Convert to fraction form
    414.16/620.93 = 208.67/x
  3. Step 3: Cross multiply
    414.16x = 620.93 × 208.67
  4. Step 4: Simplify right side
    414.16x = 129,565.32
  5. Step 5: Solve for x
    x = 129,565.32/414.16
  6. Step 6: Final answer
    x = 312.84

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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.