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Finding the Fourth Proportional to 242.96, 333.92 and 215.16

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Solution

The fourth proportional to 242.96, 333.92 and 215.16 is: 295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.96 : 333.92 = 215.16 : x
  2. Step 2: Convert to fraction form
    242.96/333.92 = 215.16/x
  3. Step 3: Cross multiply
    242.96x = 333.92 × 215.16
  4. Step 4: Simplify right side
    242.96x = 71,846.23
  5. Step 5: Solve for x
    x = 71,846.23/242.96
  6. Step 6: Final answer
    x = 295.71

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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.