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Finding the Fourth Proportional to 288.86, 398.59 and 183.92

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Solution

The fourth proportional to 288.86, 398.59 and 183.92 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.86 : 398.59 = 183.92 : x
  2. Step 2: Convert to fraction form
    288.86/398.59 = 183.92/x
  3. Step 3: Cross multiply
    288.86x = 398.59 × 183.92
  4. Step 4: Simplify right side
    288.86x = 73,306.22
  5. Step 5: Solve for x
    x = 73,306.22/288.86
  6. Step 6: Final answer
    x = 253.78

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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.