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Finding the Fourth Proportional to 400.96, 600.40 and 309.36

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Solution

The fourth proportional to 400.96, 600.40 and 309.36 is: 463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.96 : 600.40 = 309.36 : x
  2. Step 2: Convert to fraction form
    400.96/600.40 = 309.36/x
  3. Step 3: Cross multiply
    400.96x = 600.40 × 309.36
  4. Step 4: Simplify right side
    400.96x = 185,739.74
  5. Step 5: Solve for x
    x = 185,739.74/400.96
  6. Step 6: Final answer
    x = 463.24

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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.