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Finding the Fourth Proportional to 215.80, 295.41 and 208.81

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Solution

The fourth proportional to 215.80, 295.41 and 208.81 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.80 : 295.41 = 208.81 : x
  2. Step 2: Convert to fraction form
    215.80/295.41 = 208.81/x
  3. Step 3: Cross multiply
    215.80x = 295.41 × 208.81
  4. Step 4: Simplify right side
    215.80x = 61,685.71
  5. Step 5: Solve for x
    x = 61,685.71/215.80
  6. Step 6: Final answer
    x = 285.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.