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Finding the Fourth Proportional to 162.41, 224.07 and 103.37

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Solution

The fourth proportional to 162.41, 224.07 and 103.37 is: 142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.41 : 224.07 = 103.37 : x
  2. Step 2: Convert to fraction form
    162.41/224.07 = 103.37/x
  3. Step 3: Cross multiply
    162.41x = 224.07 × 103.37
  4. Step 4: Simplify right side
    162.41x = 23,161.00
  5. Step 5: Solve for x
    x = 23,161.00/162.41
  6. Step 6: Final answer
    x = 142.61

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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.