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Finding the Fourth Proportional to 400.03, 599.28 and 312.96

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Solution

The fourth proportional to 400.03, 599.28 and 312.96 is: 468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.03 : 599.28 = 312.96 : x
  2. Step 2: Convert to fraction form
    400.03/599.28 = 312.96/x
  3. Step 3: Cross multiply
    400.03x = 599.28 × 312.96
  4. Step 4: Simplify right side
    400.03x = 187,550.67
  5. Step 5: Solve for x
    x = 187,550.67/400.03
  6. Step 6: Final answer
    x = 468.84

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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.