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Finding the Fourth Proportional to 486.24, 727.93 and 280.18

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Solution

The fourth proportional to 486.24, 727.93 and 280.18 is: 419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.24 : 727.93 = 280.18 : x
  2. Step 2: Convert to fraction form
    486.24/727.93 = 280.18/x
  3. Step 3: Cross multiply
    486.24x = 727.93 × 280.18
  4. Step 4: Simplify right side
    486.24x = 203,951.43
  5. Step 5: Solve for x
    x = 203,951.43/486.24
  6. Step 6: Final answer
    x = 419.45

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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.