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Finding the Fourth Proportional to 400.30, 599.42 and 290.14

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Solution

The fourth proportional to 400.30, 599.42 and 290.14 is: 434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.30 : 599.42 = 290.14 : x
  2. Step 2: Convert to fraction form
    400.30/599.42 = 290.14/x
  3. Step 3: Cross multiply
    400.30x = 599.42 × 290.14
  4. Step 4: Simplify right side
    400.30x = 173,914.95
  5. Step 5: Solve for x
    x = 173,914.95/400.30
  6. Step 6: Final answer
    x = 434.46

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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.