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Finding the Fourth Proportional to 208.40, 287.59 and 119.88

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Solution

The fourth proportional to 208.40, 287.59 and 119.88 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.40 : 287.59 = 119.88 : x
  2. Step 2: Convert to fraction form
    208.40/287.59 = 119.88/x
  3. Step 3: Cross multiply
    208.40x = 287.59 × 119.88
  4. Step 4: Simplify right side
    208.40x = 34,475.69
  5. Step 5: Solve for x
    x = 34,475.69/208.40
  6. Step 6: Final answer
    x = 165.43

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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.