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Finding the Fourth Proportional to 242.33, 333.63 and 219.15

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Solution

The fourth proportional to 242.33, 333.63 and 219.15 is: 301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.33 : 333.63 = 219.15 : x
  2. Step 2: Convert to fraction form
    242.33/333.63 = 219.15/x
  3. Step 3: Cross multiply
    242.33x = 333.63 × 219.15
  4. Step 4: Simplify right side
    242.33x = 73,115.01
  5. Step 5: Solve for x
    x = 73,115.01/242.33
  6. Step 6: Final answer
    x = 301.72

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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.