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Finding the Fourth Proportional to 400.32, 599.84 and 228.96

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Solution

The fourth proportional to 400.32, 599.84 and 228.96 is: 343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.32 : 599.84 = 228.96 : x
  2. Step 2: Convert to fraction form
    400.32/599.84 = 228.96/x
  3. Step 3: Cross multiply
    400.32x = 599.84 × 228.96
  4. Step 4: Simplify right side
    400.32x = 137,339.37
  5. Step 5: Solve for x
    x = 137,339.37/400.32
  6. Step 6: Final answer
    x = 343.07

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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.