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Finding the Fourth Proportional to 366.30, 548.16 and 243.96

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Solution

The fourth proportional to 366.30, 548.16 and 243.96 is: 365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.30 : 548.16 = 243.96 : x
  2. Step 2: Convert to fraction form
    366.30/548.16 = 243.96/x
  3. Step 3: Cross multiply
    366.30x = 548.16 × 243.96
  4. Step 4: Simplify right side
    366.30x = 133,729.11
  5. Step 5: Solve for x
    x = 133,729.11/366.30
  6. Step 6: Final answer
    x = 365.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.