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Finding the Fourth Proportional to 162.03, 223.66 and 95.66

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Solution

The fourth proportional to 162.03, 223.66 and 95.66 is: 132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.03 : 223.66 = 95.66 : x
  2. Step 2: Convert to fraction form
    162.03/223.66 = 95.66/x
  3. Step 3: Cross multiply
    162.03x = 223.66 × 95.66
  4. Step 4: Simplify right side
    162.03x = 21,396.41
  5. Step 5: Solve for x
    x = 21,396.41/162.03
  6. Step 6: Final answer
    x = 132.05

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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.