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Finding the Fourth Proportional to 400.25, 599.45 and 253.99

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Solution

The fourth proportional to 400.25, 599.45 and 253.99 is: 380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.25 : 599.45 = 253.99 : x
  2. Step 2: Convert to fraction form
    400.25/599.45 = 253.99/x
  3. Step 3: Cross multiply
    400.25x = 599.45 × 253.99
  4. Step 4: Simplify right side
    400.25x = 152,251.31
  5. Step 5: Solve for x
    x = 152,251.31/400.25
  6. Step 6: Final answer
    x = 380.40

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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.