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Finding the Fourth Proportional to 149.86, 206.54 and 117.06

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Solution

The fourth proportional to 149.86, 206.54 and 117.06 is: 161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.86 : 206.54 = 117.06 : x
  2. Step 2: Convert to fraction form
    149.86/206.54 = 117.06/x
  3. Step 3: Cross multiply
    149.86x = 206.54 × 117.06
  4. Step 4: Simplify right side
    149.86x = 24,177.57
  5. Step 5: Solve for x
    x = 24,177.57/149.86
  6. Step 6: Final answer
    x = 161.33

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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.