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Finding the Fourth Proportional to 162.09, 223.34 and 112.95

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Solution

The fourth proportional to 162.09, 223.34 and 112.95 is: 155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.09 : 223.34 = 112.95 : x
  2. Step 2: Convert to fraction form
    162.09/223.34 = 112.95/x
  3. Step 3: Cross multiply
    162.09x = 223.34 × 112.95
  4. Step 4: Simplify right side
    162.09x = 25,225.69
  5. Step 5: Solve for x
    x = 25,225.69/162.09
  6. Step 6: Final answer
    x = 155.63

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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.