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Finding the Fourth Proportional to 378.96, 565.74 and 338.40

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Solution

The fourth proportional to 378.96, 565.74 and 338.40 is: 505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.96 : 565.74 = 338.40 : x
  2. Step 2: Convert to fraction form
    378.96/565.74 = 338.40/x
  3. Step 3: Cross multiply
    378.96x = 565.74 × 338.40
  4. Step 4: Simplify right side
    378.96x = 191,446.42
  5. Step 5: Solve for x
    x = 191,446.42/378.96
  6. Step 6: Final answer
    x = 505.19

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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.