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Finding the Fourth Proportional to 365.82, 548.84 and 243.95

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Solution

The fourth proportional to 365.82, 548.84 and 243.95 is: 366.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.82 : 548.84 = 243.95 : x
  2. Step 2: Convert to fraction form
    365.82/548.84 = 243.95/x
  3. Step 3: Cross multiply
    365.82x = 548.84 × 243.95
  4. Step 4: Simplify right side
    365.82x = 133,887.38
  5. Step 5: Solve for x
    x = 133,887.38/365.82
  6. Step 6: Final answer
    x = 366.00

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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.