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Finding the Fourth Proportional to 162.58, 223.52 and 132.70

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Solution

The fourth proportional to 162.58, 223.52 and 132.70 is: 182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.58 : 223.52 = 132.70 : x
  2. Step 2: Convert to fraction form
    162.58/223.52 = 132.70/x
  3. Step 3: Cross multiply
    162.58x = 223.52 × 132.70
  4. Step 4: Simplify right side
    162.58x = 29,661.10
  5. Step 5: Solve for x
    x = 29,661.10/162.58
  6. Step 6: Final answer
    x = 182.44

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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.