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Finding the Fourth Proportional to 162.81, 223.97 and 150.66

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Solution

The fourth proportional to 162.81, 223.97 and 150.66 is: 207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.81 : 223.97 = 150.66 : x
  2. Step 2: Convert to fraction form
    162.81/223.97 = 150.66/x
  3. Step 3: Cross multiply
    162.81x = 223.97 × 150.66
  4. Step 4: Simplify right side
    162.81x = 33,742.57
  5. Step 5: Solve for x
    x = 33,742.57/162.81
  6. Step 6: Final answer
    x = 207.25

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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.