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Finding the Fourth Proportional to 315.43, 473.29 and 193.61

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Solution

The fourth proportional to 315.43, 473.29 and 193.61 is: 290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.43 : 473.29 = 193.61 : x
  2. Step 2: Convert to fraction form
    315.43/473.29 = 193.61/x
  3. Step 3: Cross multiply
    315.43x = 473.29 × 193.61
  4. Step 4: Simplify right side
    315.43x = 91,634.38
  5. Step 5: Solve for x
    x = 91,634.38/315.43
  6. Step 6: Final answer
    x = 290.51

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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.