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Finding the Fourth Proportional to 243.58, 363.46 and 228.88

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Solution

The fourth proportional to 243.58, 363.46 and 228.88 is: 341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.58 : 363.46 = 228.88 : x
  2. Step 2: Convert to fraction form
    243.58/363.46 = 228.88/x
  3. Step 3: Cross multiply
    243.58x = 363.46 × 228.88
  4. Step 4: Simplify right side
    243.58x = 83,188.72
  5. Step 5: Solve for x
    x = 83,188.72/243.58
  6. Step 6: Final answer
    x = 341.53

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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.