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Finding the Fourth Proportional to 378.95, 571.59 and 356.47

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Solution

The fourth proportional to 378.95, 571.59 and 356.47 is: 537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.95 : 571.59 = 356.47 : x
  2. Step 2: Convert to fraction form
    378.95/571.59 = 356.47/x
  3. Step 3: Cross multiply
    378.95x = 571.59 × 356.47
  4. Step 4: Simplify right side
    378.95x = 203,753.26
  5. Step 5: Solve for x
    x = 203,753.26/378.95
  6. Step 6: Final answer
    x = 537.69

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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.