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Finding the Fourth Proportional to 149.96, 207 and 117.08

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Solution

The fourth proportional to 149.96, 207 and 117.08 is: 161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.96 : 207 = 117.08 : x
  2. Step 2: Convert to fraction form
    149.96/207 = 117.08/x
  3. Step 3: Cross multiply
    149.96x = 207 × 117.08
  4. Step 4: Simplify right side
    149.96x = 24,235.56
  5. Step 5: Solve for x
    x = 24,235.56/149.96
  6. Step 6: Final answer
    x = 161.61

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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.