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Finding the Fourth Proportional to 243.58, 367.16 and 203.28

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Solution

The fourth proportional to 243.58, 367.16 and 203.28 is: 306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.58 : 367.16 = 203.28 : x
  2. Step 2: Convert to fraction form
    243.58/367.16 = 203.28/x
  3. Step 3: Cross multiply
    243.58x = 367.16 × 203.28
  4. Step 4: Simplify right side
    243.58x = 74,636.28
  5. Step 5: Solve for x
    x = 74,636.28/243.58
  6. Step 6: Final answer
    x = 306.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.