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Finding the Fourth Proportional to 400.59, 599.99 and 238.41

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Solution

The fourth proportional to 400.59, 599.99 and 238.41 is: 357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.59 : 599.99 = 238.41 : x
  2. Step 2: Convert to fraction form
    400.59/599.99 = 238.41/x
  3. Step 3: Cross multiply
    400.59x = 599.99 × 238.41
  4. Step 4: Simplify right side
    400.59x = 143,042.42
  5. Step 5: Solve for x
    x = 143,042.42/400.59
  6. Step 6: Final answer
    x = 357.08

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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.