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Finding the Fourth Proportional to 208.32, 313.62 and 191.58

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Solution

The fourth proportional to 208.32, 313.62 and 191.58 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.32 : 313.62 = 191.58 : x
  2. Step 2: Convert to fraction form
    208.32/313.62 = 191.58/x
  3. Step 3: Cross multiply
    208.32x = 313.62 × 191.58
  4. Step 4: Simplify right side
    208.32x = 60,083.32
  5. Step 5: Solve for x
    x = 60,083.32/208.32
  6. Step 6: Final answer
    x = 288.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.