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Finding the Fourth Proportional to 288.97, 434.36 and 274.39

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Solution

The fourth proportional to 288.97, 434.36 and 274.39 is: 412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.97 : 434.36 = 274.39 : x
  2. Step 2: Convert to fraction form
    288.97/434.36 = 274.39/x
  3. Step 3: Cross multiply
    288.97x = 434.36 × 274.39
  4. Step 4: Simplify right side
    288.97x = 119,183.64
  5. Step 5: Solve for x
    x = 119,183.64/288.97
  6. Step 6: Final answer
    x = 412.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.