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Finding the Fourth Proportional to 378, 569.97 and 306.72

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Solution

The fourth proportional to 378, 569.97 and 306.72 is: 462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378 : 569.97 = 306.72 : x
  2. Step 2: Convert to fraction form
    378/569.97 = 306.72/x
  3. Step 3: Cross multiply
    378x = 569.97 × 306.72
  4. Step 4: Simplify right side
    378x = 174,821.20
  5. Step 5: Solve for x
    x = 174,821.20/378
  6. Step 6: Final answer
    x = 462.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.