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Finding the Fourth Proportional to 154.68, 213.09 and 117.81

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Solution

The fourth proportional to 154.68, 213.09 and 117.81 is: 162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.68 : 213.09 = 117.81 : x
  2. Step 2: Convert to fraction form
    154.68/213.09 = 117.81/x
  3. Step 3: Cross multiply
    154.68x = 213.09 × 117.81
  4. Step 4: Simplify right side
    154.68x = 25,104.13
  5. Step 5: Solve for x
    x = 25,104.13/154.68
  6. Step 6: Final answer
    x = 162.30

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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.