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Finding the Fourth Proportional to 400.28, 599.78 and 291.56

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Solution

The fourth proportional to 400.28, 599.78 and 291.56 is: 436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.28 : 599.78 = 291.56 : x
  2. Step 2: Convert to fraction form
    400.28/599.78 = 291.56/x
  3. Step 3: Cross multiply
    400.28x = 599.78 × 291.56
  4. Step 4: Simplify right side
    400.28x = 174,871.86
  5. Step 5: Solve for x
    x = 174,871.86/400.28
  6. Step 6: Final answer
    x = 436.87

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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.