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Finding the Fourth Proportional to 378.74, 522.69 and 231.40

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Solution

The fourth proportional to 378.74, 522.69 and 231.40 is: 319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 522.69 = 231.40 : x
  2. Step 2: Convert to fraction form
    378.74/522.69 = 231.40/x
  3. Step 3: Cross multiply
    378.74x = 522.69 × 231.40
  4. Step 4: Simplify right side
    378.74x = 120,950.13
  5. Step 5: Solve for x
    x = 120,950.13/378.74
  6. Step 6: Final answer
    x = 319.35

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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.