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Finding the Fourth Proportional to 378.79, 565.30 and 337.79

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Solution

The fourth proportional to 378.79, 565.30 and 337.79 is: 504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.79 : 565.30 = 337.79 : x
  2. Step 2: Convert to fraction form
    378.79/565.30 = 337.79/x
  3. Step 3: Cross multiply
    378.79x = 565.30 × 337.79
  4. Step 4: Simplify right side
    378.79x = 190,949.44
  5. Step 5: Solve for x
    x = 190,949.44/378.79
  6. Step 6: Final answer
    x = 504.10

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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.