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Finding the Fourth Proportional to 162.66, 223.59 and 133.10

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Solution

The fourth proportional to 162.66, 223.59 and 133.10 is: 182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.66 : 223.59 = 133.10 : x
  2. Step 2: Convert to fraction form
    162.66/223.59 = 133.10/x
  3. Step 3: Cross multiply
    162.66x = 223.59 × 133.10
  4. Step 4: Simplify right side
    162.66x = 29,759.83
  5. Step 5: Solve for x
    x = 29,759.83/162.66
  6. Step 6: Final answer
    x = 182.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.