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Finding the Fourth Proportional to 386.92, 533.93 and 209.87

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Solution

The fourth proportional to 386.92, 533.93 and 209.87 is: 289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.92 : 533.93 = 209.87 : x
  2. Step 2: Convert to fraction form
    386.92/533.93 = 209.87/x
  3. Step 3: Cross multiply
    386.92x = 533.93 × 209.87
  4. Step 4: Simplify right side
    386.92x = 112,055.75
  5. Step 5: Solve for x
    x = 112,055.75/386.92
  6. Step 6: Final answer
    x = 289.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.