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Finding the Fourth Proportional to 288.42, 397.63 and 226.00

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Solution

The fourth proportional to 288.42, 397.63 and 226.00 is: 311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.42 : 397.63 = 226.00 : x
  2. Step 2: Convert to fraction form
    288.42/397.63 = 226.00/x
  3. Step 3: Cross multiply
    288.42x = 397.63 × 226.00
  4. Step 4: Simplify right side
    288.42x = 89,861.26
  5. Step 5: Solve for x
    x = 89,861.26/288.42
  6. Step 6: Final answer
    x = 311.56

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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.