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Finding the Fourth Proportional to 393.38, 587.48 and 316.46

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Solution

The fourth proportional to 393.38, 587.48 and 316.46 is: 472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.38 : 587.48 = 316.46 : x
  2. Step 2: Convert to fraction form
    393.38/587.48 = 316.46/x
  3. Step 3: Cross multiply
    393.38x = 587.48 × 316.46
  4. Step 4: Simplify right side
    393.38x = 185,913.92
  5. Step 5: Solve for x
    x = 185,913.92/393.38
  6. Step 6: Final answer
    x = 472.61

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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.