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Finding the Fourth Proportional to 288.73, 430.22 and 274.78

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Solution

The fourth proportional to 288.73, 430.22 and 274.78 is: 409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.73 : 430.22 = 274.78 : x
  2. Step 2: Convert to fraction form
    288.73/430.22 = 274.78/x
  3. Step 3: Cross multiply
    288.73x = 430.22 × 274.78
  4. Step 4: Simplify right side
    288.73x = 118,215.85
  5. Step 5: Solve for x
    x = 118,215.85/288.73
  6. Step 6: Final answer
    x = 409.43

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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.