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Finding the Fourth Proportional to 262.35, 360.81 and 209.28

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Solution

The fourth proportional to 262.35, 360.81 and 209.28 is: 287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.35 : 360.81 = 209.28 : x
  2. Step 2: Convert to fraction form
    262.35/360.81 = 209.28/x
  3. Step 3: Cross multiply
    262.35x = 360.81 × 209.28
  4. Step 4: Simplify right side
    262.35x = 75,510.32
  5. Step 5: Solve for x
    x = 75,510.32/262.35
  6. Step 6: Final answer
    x = 287.82

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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.