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Finding the Fourth Proportional to 286.56, 394.80 and 242.88

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Solution

The fourth proportional to 286.56, 394.80 and 242.88 is: 334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.56 : 394.80 = 242.88 : x
  2. Step 2: Convert to fraction form
    286.56/394.80 = 242.88/x
  3. Step 3: Cross multiply
    286.56x = 394.80 × 242.88
  4. Step 4: Simplify right side
    286.56x = 95,889.02
  5. Step 5: Solve for x
    x = 95,889.02/286.56
  6. Step 6: Final answer
    x = 334.62

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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.