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Finding the Fourth Proportional to 243.84, 363.28 and 238.08

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Solution

The fourth proportional to 243.84, 363.28 and 238.08 is: 354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.84 : 363.28 = 238.08 : x
  2. Step 2: Convert to fraction form
    243.84/363.28 = 238.08/x
  3. Step 3: Cross multiply
    243.84x = 363.28 × 238.08
  4. Step 4: Simplify right side
    243.84x = 86,489.70
  5. Step 5: Solve for x
    x = 86,489.70/243.84
  6. Step 6: Final answer
    x = 354.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.