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Finding the Fourth Proportional to 162.79, 224.62 and 103.80

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Solution

The fourth proportional to 162.79, 224.62 and 103.80 is: 143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.79 : 224.62 = 103.80 : x
  2. Step 2: Convert to fraction form
    162.79/224.62 = 103.80/x
  3. Step 3: Cross multiply
    162.79x = 224.62 × 103.80
  4. Step 4: Simplify right side
    162.79x = 23,315.56
  5. Step 5: Solve for x
    x = 23,315.56/162.79
  6. Step 6: Final answer
    x = 143.22

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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.