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Finding the Fourth Proportional to 379.54, 522.40 and 316.66

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Solution

The fourth proportional to 379.54, 522.40 and 316.66 is: 435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.54 : 522.40 = 316.66 : x
  2. Step 2: Convert to fraction form
    379.54/522.40 = 316.66/x
  3. Step 3: Cross multiply
    379.54x = 522.40 × 316.66
  4. Step 4: Simplify right side
    379.54x = 165,422.66
  5. Step 5: Solve for x
    x = 165,422.66/379.54
  6. Step 6: Final answer
    x = 435.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.