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Finding the Fourth Proportional to 243.30, 333.97 and 215.06

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Solution

The fourth proportional to 243.30, 333.97 and 215.06 is: 295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.30 : 333.97 = 215.06 : x
  2. Step 2: Convert to fraction form
    243.30/333.97 = 215.06/x
  3. Step 3: Cross multiply
    243.30x = 333.97 × 215.06
  4. Step 4: Simplify right side
    243.30x = 71,822.59
  5. Step 5: Solve for x
    x = 71,822.59/243.30
  6. Step 6: Final answer
    x = 295.20

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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.