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Finding the Fourth Proportional to 315.92, 473.60 and 161.94

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Solution

The fourth proportional to 315.92, 473.60 and 161.94 is: 242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.92 : 473.60 = 161.94 : x
  2. Step 2: Convert to fraction form
    315.92/473.60 = 161.94/x
  3. Step 3: Cross multiply
    315.92x = 473.60 × 161.94
  4. Step 4: Simplify right side
    315.92x = 76,694.78
  5. Step 5: Solve for x
    x = 76,694.78/315.92
  6. Step 6: Final answer
    x = 242.77

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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.