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Finding the Fourth Proportional to 291.44, 399.78 and 285.37

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Solution

The fourth proportional to 291.44, 399.78 and 285.37 is: 391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.44 : 399.78 = 285.37 : x
  2. Step 2: Convert to fraction form
    291.44/399.78 = 285.37/x
  3. Step 3: Cross multiply
    291.44x = 399.78 × 285.37
  4. Step 4: Simplify right side
    291.44x = 114,084.22
  5. Step 5: Solve for x
    x = 114,084.22/291.44
  6. Step 6: Final answer
    x = 391.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.