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Finding the Fourth Proportional to 385.44, 575.67 and 330.78

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Solution

The fourth proportional to 385.44, 575.67 and 330.78 is: 494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.44 : 575.67 = 330.78 : x
  2. Step 2: Convert to fraction form
    385.44/575.67 = 330.78/x
  3. Step 3: Cross multiply
    385.44x = 575.67 × 330.78
  4. Step 4: Simplify right side
    385.44x = 190,420.12
  5. Step 5: Solve for x
    x = 190,420.12/385.44
  6. Step 6: Final answer
    x = 494.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.