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Finding the Fourth Proportional to 376.70, 519.77 and 317.91

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Solution

The fourth proportional to 376.70, 519.77 and 317.91 is: 438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.70 : 519.77 = 317.91 : x
  2. Step 2: Convert to fraction form
    376.70/519.77 = 317.91/x
  3. Step 3: Cross multiply
    376.70x = 519.77 × 317.91
  4. Step 4: Simplify right side
    376.70x = 165,238.49
  5. Step 5: Solve for x
    x = 165,238.49/376.70
  6. Step 6: Final answer
    x = 438.65

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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.