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Finding the Fourth Proportional to 288.50, 394.92 and 279.18

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Solution

The fourth proportional to 288.50, 394.92 and 279.18 is: 382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.50 : 394.92 = 279.18 : x
  2. Step 2: Convert to fraction form
    288.50/394.92 = 279.18/x
  3. Step 3: Cross multiply
    288.50x = 394.92 × 279.18
  4. Step 4: Simplify right side
    288.50x = 110,253.77
  5. Step 5: Solve for x
    x = 110,253.77/288.50
  6. Step 6: Final answer
    x = 382.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.