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Finding the Fourth Proportional to 162.08, 244.09 and 136.56

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Solution

The fourth proportional to 162.08, 244.09 and 136.56 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.08 : 244.09 = 136.56 : x
  2. Step 2: Convert to fraction form
    162.08/244.09 = 136.56/x
  3. Step 3: Cross multiply
    162.08x = 244.09 × 136.56
  4. Step 4: Simplify right side
    162.08x = 33,332.93
  5. Step 5: Solve for x
    x = 33,332.93/162.08
  6. Step 6: Final answer
    x = 205.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.