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Finding the Fourth Proportional to 162.40, 223.99 and 104.15

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Solution

The fourth proportional to 162.40, 223.99 and 104.15 is: 143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.40 : 223.99 = 104.15 : x
  2. Step 2: Convert to fraction form
    162.40/223.99 = 104.15/x
  3. Step 3: Cross multiply
    162.40x = 223.99 × 104.15
  4. Step 4: Simplify right side
    162.40x = 23,328.56
  5. Step 5: Solve for x
    x = 23,328.56/162.40
  6. Step 6: Final answer
    x = 143.65

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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.