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Finding the Fourth Proportional to 335.92, 464.16 and 242.96

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Solution

The fourth proportional to 335.92, 464.16 and 242.96 is: 335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.92 : 464.16 = 242.96 : x
  2. Step 2: Convert to fraction form
    335.92/464.16 = 242.96/x
  3. Step 3: Cross multiply
    335.92x = 464.16 × 242.96
  4. Step 4: Simplify right side
    335.92x = 112,772.31
  5. Step 5: Solve for x
    x = 112,772.31/335.92
  6. Step 6: Final answer
    x = 335.71

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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.