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Finding the Fourth Proportional to 315.50, 471.33 and 204.92

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Solution

The fourth proportional to 315.50, 471.33 and 204.92 is: 306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.50 : 471.33 = 204.92 : x
  2. Step 2: Convert to fraction form
    315.50/471.33 = 204.92/x
  3. Step 3: Cross multiply
    315.50x = 471.33 × 204.92
  4. Step 4: Simplify right side
    315.50x = 96,582.59
  5. Step 5: Solve for x
    x = 96,582.59/315.50
  6. Step 6: Final answer
    x = 306.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.