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Finding the Fourth Proportional to 243.06, 362.07 and 228.12

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Solution

The fourth proportional to 243.06, 362.07 and 228.12 is: 339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.06 : 362.07 = 228.12 : x
  2. Step 2: Convert to fraction form
    243.06/362.07 = 228.12/x
  3. Step 3: Cross multiply
    243.06x = 362.07 × 228.12
  4. Step 4: Simplify right side
    243.06x = 82,595.41
  5. Step 5: Solve for x
    x = 82,595.41/243.06
  6. Step 6: Final answer
    x = 339.81

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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.