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Finding the Fourth Proportional to 378.93, 565.44 and 338.07

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Solution

The fourth proportional to 378.93, 565.44 and 338.07 is: 504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.93 : 565.44 = 338.07 : x
  2. Step 2: Convert to fraction form
    378.93/565.44 = 338.07/x
  3. Step 3: Cross multiply
    378.93x = 565.44 × 338.07
  4. Step 4: Simplify right side
    378.93x = 191,158.30
  5. Step 5: Solve for x
    x = 191,158.30/378.93
  6. Step 6: Final answer
    x = 504.47

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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.