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Finding the Fourth Proportional to 162.11, 242.96 and 70.78

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Solution

The fourth proportional to 162.11, 242.96 and 70.78 is: 106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.11 : 242.96 = 70.78 : x
  2. Step 2: Convert to fraction form
    162.11/242.96 = 70.78/x
  3. Step 3: Cross multiply
    162.11x = 242.96 × 70.78
  4. Step 4: Simplify right side
    162.11x = 17,196.35
  5. Step 5: Solve for x
    x = 17,196.35/162.11
  6. Step 6: Final answer
    x = 106.08

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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.