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Finding the Fourth Proportional to 207.98, 287.01 and 120.66

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Solution

The fourth proportional to 207.98, 287.01 and 120.66 is: 166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.98 : 287.01 = 120.66 : x
  2. Step 2: Convert to fraction form
    207.98/287.01 = 120.66/x
  3. Step 3: Cross multiply
    207.98x = 287.01 × 120.66
  4. Step 4: Simplify right side
    207.98x = 34,630.63
  5. Step 5: Solve for x
    x = 34,630.63/207.98
  6. Step 6: Final answer
    x = 166.51

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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.