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Finding the Fourth Proportional to 378.74, 569.23 and 257.85

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Solution

The fourth proportional to 378.74, 569.23 and 257.85 is: 387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.74 : 569.23 = 257.85 : x
  2. Step 2: Convert to fraction form
    378.74/569.23 = 257.85/x
  3. Step 3: Cross multiply
    378.74x = 569.23 × 257.85
  4. Step 4: Simplify right side
    378.74x = 146,775.31
  5. Step 5: Solve for x
    x = 146,775.31/378.74
  6. Step 6: Final answer
    x = 387.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.