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Finding the Fourth Proportional to 288.28, 396.93 and 235.90

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Solution

The fourth proportional to 288.28, 396.93 and 235.90 is: 324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.28 : 396.93 = 235.90 : x
  2. Step 2: Convert to fraction form
    288.28/396.93 = 235.90/x
  3. Step 3: Cross multiply
    288.28x = 396.93 × 235.90
  4. Step 4: Simplify right side
    288.28x = 93,635.79
  5. Step 5: Solve for x
    x = 93,635.79/288.28
  6. Step 6: Final answer
    x = 324.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.