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Finding the Fourth Proportional to 162.80, 224.78 and 100.71

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Solution

The fourth proportional to 162.80, 224.78 and 100.71 is: 139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.80 : 224.78 = 100.71 : x
  2. Step 2: Convert to fraction form
    162.80/224.78 = 100.71/x
  3. Step 3: Cross multiply
    162.80x = 224.78 × 100.71
  4. Step 4: Simplify right side
    162.80x = 22,637.09
  5. Step 5: Solve for x
    x = 22,637.09/162.80
  6. Step 6: Final answer
    x = 139.05

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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.