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Finding the Fourth Proportional to 366.18, 548.91 and 280.50

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Solution

The fourth proportional to 366.18, 548.91 and 280.50 is: 420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.18 : 548.91 = 280.50 : x
  2. Step 2: Convert to fraction form
    366.18/548.91 = 280.50/x
  3. Step 3: Cross multiply
    366.18x = 548.91 × 280.50
  4. Step 4: Simplify right side
    366.18x = 153,969.26
  5. Step 5: Solve for x
    x = 153,969.26/366.18
  6. Step 6: Final answer
    x = 420.47

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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.