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Finding the Fourth Proportional to 378.87, 569.58 and 298.68

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Solution

The fourth proportional to 378.87, 569.58 and 298.68 is: 449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.87 : 569.58 = 298.68 : x
  2. Step 2: Convert to fraction form
    378.87/569.58 = 298.68/x
  3. Step 3: Cross multiply
    378.87x = 569.58 × 298.68
  4. Step 4: Simplify right side
    378.87x = 170,122.15
  5. Step 5: Solve for x
    x = 170,122.15/378.87
  6. Step 6: Final answer
    x = 449.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.