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Finding the Fourth Proportional to 378.95, 522.87 and 231.63

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Solution

The fourth proportional to 378.95, 522.87 and 231.63 is: 319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.95 : 522.87 = 231.63 : x
  2. Step 2: Convert to fraction form
    378.95/522.87 = 231.63/x
  3. Step 3: Cross multiply
    378.95x = 522.87 × 231.63
  4. Step 4: Simplify right side
    378.95x = 121,112.38
  5. Step 5: Solve for x
    x = 121,112.38/378.95
  6. Step 6: Final answer
    x = 319.60

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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.