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Finding the Fourth Proportional to 288.83, 398.27 and 205.90

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Solution

The fourth proportional to 288.83, 398.27 and 205.90 is: 283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.83 : 398.27 = 205.90 : x
  2. Step 2: Convert to fraction form
    288.83/398.27 = 205.90/x
  3. Step 3: Cross multiply
    288.83x = 398.27 × 205.90
  4. Step 4: Simplify right side
    288.83x = 82,001.77
  5. Step 5: Solve for x
    x = 82,001.77/288.83
  6. Step 6: Final answer
    x = 283.92

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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.