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Finding the Fourth Proportional to 378.95, 571.31 and 352.53

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Solution

The fourth proportional to 378.95, 571.31 and 352.53 is: 531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.95 : 571.31 = 352.53 : x
  2. Step 2: Convert to fraction form
    378.95/571.31 = 352.53/x
  3. Step 3: Cross multiply
    378.95x = 571.31 × 352.53
  4. Step 4: Simplify right side
    378.95x = 201,402.15
  5. Step 5: Solve for x
    x = 201,402.15/378.95
  6. Step 6: Final answer
    x = 531.48

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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.