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Finding the Fourth Proportional to 378.87, 570.53 and 340.80

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Solution

The fourth proportional to 378.87, 570.53 and 340.80 is: 513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.87 : 570.53 = 340.80 : x
  2. Step 2: Convert to fraction form
    378.87/570.53 = 340.80/x
  3. Step 3: Cross multiply
    378.87x = 570.53 × 340.80
  4. Step 4: Simplify right side
    378.87x = 194,436.62
  5. Step 5: Solve for x
    x = 194,436.62/378.87
  6. Step 6: Final answer
    x = 513.20

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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.