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Finding the Fourth Proportional to 400.64, 600.96 and 208.64

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Solution

The fourth proportional to 400.64, 600.96 and 208.64 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.64 : 600.96 = 208.64 : x
  2. Step 2: Convert to fraction form
    400.64/600.96 = 208.64/x
  3. Step 3: Cross multiply
    400.64x = 600.96 × 208.64
  4. Step 4: Simplify right side
    400.64x = 125,384.29
  5. Step 5: Solve for x
    x = 125,384.29/400.64
  6. Step 6: Final answer
    x = 312.96

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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.