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Finding the Fourth Proportional to 291.52, 401.95 and 208.59

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Solution

The fourth proportional to 291.52, 401.95 and 208.59 is: 287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.52 : 401.95 = 208.59 : x
  2. Step 2: Convert to fraction form
    291.52/401.95 = 208.59/x
  3. Step 3: Cross multiply
    291.52x = 401.95 × 208.59
  4. Step 4: Simplify right side
    291.52x = 83,842.75
  5. Step 5: Solve for x
    x = 83,842.75/291.52
  6. Step 6: Final answer
    x = 287.61

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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.