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Finding the Fourth Proportional to 162, 242.88 and 84.96

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Solution

The fourth proportional to 162, 242.88 and 84.96 is: 127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162 : 242.88 = 84.96 : x
  2. Step 2: Convert to fraction form
    162/242.88 = 84.96/x
  3. Step 3: Cross multiply
    162x = 242.88 × 84.96
  4. Step 4: Simplify right side
    162x = 20,635.08
  5. Step 5: Solve for x
    x = 20,635.08/162
  6. Step 6: Final answer
    x = 127.38

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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.