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Finding the Fourth Proportional to 379.34, 522.55 and 317.15

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Solution

The fourth proportional to 379.34, 522.55 and 317.15 is: 436.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.34 : 522.55 = 317.15 : x
  2. Step 2: Convert to fraction form
    379.34/522.55 = 317.15/x
  3. Step 3: Cross multiply
    379.34x = 522.55 × 317.15
  4. Step 4: Simplify right side
    379.34x = 165,724.63
  5. Step 5: Solve for x
    x = 165,724.63/379.34
  6. Step 6: Final answer
    x = 436.88

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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.