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Finding the Fourth Proportional to 378.58, 522.12 and 319.70

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Solution

The fourth proportional to 378.58, 522.12 and 319.70 is: 440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.58 : 522.12 = 319.70 : x
  2. Step 2: Convert to fraction form
    378.58/522.12 = 319.70/x
  3. Step 3: Cross multiply
    378.58x = 522.12 × 319.70
  4. Step 4: Simplify right side
    378.58x = 166,924.27
  5. Step 5: Solve for x
    x = 166,924.27/378.58
  6. Step 6: Final answer
    x = 440.92

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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.