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Finding the Fourth Proportional to 162.05, 242.77 and 137.75

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Solution

The fourth proportional to 162.05, 242.77 and 137.75 is: 206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.05 : 242.77 = 137.75 : x
  2. Step 2: Convert to fraction form
    162.05/242.77 = 137.75/x
  3. Step 3: Cross multiply
    162.05x = 242.77 × 137.75
  4. Step 4: Simplify right side
    162.05x = 33,441.57
  5. Step 5: Solve for x
    x = 33,441.57/162.05
  6. Step 6: Final answer
    x = 206.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.