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Finding the Fourth Proportional to 162.32, 242.96 and 123.94

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Solution

The fourth proportional to 162.32, 242.96 and 123.94 is: 185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.32 : 242.96 = 123.94 : x
  2. Step 2: Convert to fraction form
    162.32/242.96 = 123.94/x
  3. Step 3: Cross multiply
    162.32x = 242.96 × 123.94
  4. Step 4: Simplify right side
    162.32x = 30,112.46
  5. Step 5: Solve for x
    x = 30,112.46/162.32
  6. Step 6: Final answer
    x = 185.51

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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.