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Finding the Fourth Proportional to 288.08, 397.08 and 225.68

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Solution

The fourth proportional to 288.08, 397.08 and 225.68 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.08 : 397.08 = 225.68 : x
  2. Step 2: Convert to fraction form
    288.08/397.08 = 225.68/x
  3. Step 3: Cross multiply
    288.08x = 397.08 × 225.68
  4. Step 4: Simplify right side
    288.08x = 89,613.01
  5. Step 5: Solve for x
    x = 89,613.01/288.08
  6. Step 6: Final answer
    x = 311.07

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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.