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Finding the Fourth Proportional to 378.54, 569.07 and 306.90

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Solution

The fourth proportional to 378.54, 569.07 and 306.90 is: 461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.54 : 569.07 = 306.90 : x
  2. Step 2: Convert to fraction form
    378.54/569.07 = 306.90/x
  3. Step 3: Cross multiply
    378.54x = 569.07 × 306.90
  4. Step 4: Simplify right side
    378.54x = 174,647.58
  5. Step 5: Solve for x
    x = 174,647.58/378.54
  6. Step 6: Final answer
    x = 461.37

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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.