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Finding the Fourth Proportional to 235.91, 354.31 and 208.58

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Solution

The fourth proportional to 235.91, 354.31 and 208.58 is: 313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.91 : 354.31 = 208.58 : x
  2. Step 2: Convert to fraction form
    235.91/354.31 = 208.58/x
  3. Step 3: Cross multiply
    235.91x = 354.31 × 208.58
  4. Step 4: Simplify right side
    235.91x = 73,899.69
  5. Step 5: Solve for x
    x = 73,899.69/235.91
  6. Step 6: Final answer
    x = 313.25

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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.