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Finding the Fourth Proportional to 162.70, 224.41 and 104.50

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Solution

The fourth proportional to 162.70, 224.41 and 104.50 is: 144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.70 : 224.41 = 104.50 : x
  2. Step 2: Convert to fraction form
    162.70/224.41 = 104.50/x
  3. Step 3: Cross multiply
    162.70x = 224.41 × 104.50
  4. Step 4: Simplify right side
    162.70x = 23,450.85
  5. Step 5: Solve for x
    x = 23,450.85/162.70
  6. Step 6: Final answer
    x = 144.14

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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.