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Finding the Fourth Proportional to 208.34, 287.52 and 119.79

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Solution

The fourth proportional to 208.34, 287.52 and 119.79 is: 165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.34 : 287.52 = 119.79 : x
  2. Step 2: Convert to fraction form
    208.34/287.52 = 119.79/x
  3. Step 3: Cross multiply
    208.34x = 287.52 × 119.79
  4. Step 4: Simplify right side
    208.34x = 34,441.42
  5. Step 5: Solve for x
    x = 34,441.42/208.34
  6. Step 6: Final answer
    x = 165.31

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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.