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Finding the Fourth Proportional to 288.74, 398.30 and 206.12

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Solution

The fourth proportional to 288.74, 398.30 and 206.12 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.74 : 398.30 = 206.12 : x
  2. Step 2: Convert to fraction form
    288.74/398.30 = 206.12/x
  3. Step 3: Cross multiply
    288.74x = 398.30 × 206.12
  4. Step 4: Simplify right side
    288.74x = 82,097.60
  5. Step 5: Solve for x
    x = 82,097.60/288.74
  6. Step 6: Final answer
    x = 284.33

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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.