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Finding the Fourth Proportional to 288.76, 431.18 and 227.20

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Solution

The fourth proportional to 288.76, 431.18 and 227.20 is: 339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.76 : 431.18 = 227.20 : x
  2. Step 2: Convert to fraction form
    288.76/431.18 = 227.20/x
  3. Step 3: Cross multiply
    288.76x = 431.18 × 227.20
  4. Step 4: Simplify right side
    288.76x = 97,964.10
  5. Step 5: Solve for x
    x = 97,964.10/288.76
  6. Step 6: Final answer
    x = 339.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.