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Finding the Fourth Proportional to 400.34, 599.30 and 263.05

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Solution

The fourth proportional to 400.34, 599.30 and 263.05 is: 393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.34 : 599.30 = 263.05 : x
  2. Step 2: Convert to fraction form
    400.34/599.30 = 263.05/x
  3. Step 3: Cross multiply
    400.34x = 599.30 × 263.05
  4. Step 4: Simplify right side
    400.34x = 157,644.04
  5. Step 5: Solve for x
    x = 157,644.04/400.34
  6. Step 6: Final answer
    x = 393.77

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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.