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Finding the Fourth Proportional to 149.96, 207.02 and 118.85

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Solution

The fourth proportional to 149.96, 207.02 and 118.85 is: 164.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.96 : 207.02 = 118.85 : x
  2. Step 2: Convert to fraction form
    149.96/207.02 = 118.85/x
  3. Step 3: Cross multiply
    149.96x = 207.02 × 118.85
  4. Step 4: Simplify right side
    149.96x = 24,603.59
  5. Step 5: Solve for x
    x = 24,603.59/149.96
  6. Step 6: Final answer
    x = 164.06

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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.