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Finding the Fourth Proportional to 162.26, 242.38 and 137.96

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Solution

The fourth proportional to 162.26, 242.38 and 137.96 is: 206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.26 : 242.38 = 137.96 : x
  2. Step 2: Convert to fraction form
    162.26/242.38 = 137.96/x
  3. Step 3: Cross multiply
    162.26x = 242.38 × 137.96
  4. Step 4: Simplify right side
    162.26x = 33,438.74
  5. Step 5: Solve for x
    x = 33,438.74/162.26
  6. Step 6: Final answer
    x = 206.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.