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Finding the Fourth Proportional to 378.60, 570.26 and 345.39

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Solution

The fourth proportional to 378.60, 570.26 and 345.39 is: 520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.60 : 570.26 = 345.39 : x
  2. Step 2: Convert to fraction form
    378.60/570.26 = 345.39/x
  3. Step 3: Cross multiply
    378.60x = 570.26 × 345.39
  4. Step 4: Simplify right side
    378.60x = 196,960.37
  5. Step 5: Solve for x
    x = 196,960.37/378.60
  6. Step 6: Final answer
    x = 520.23

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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.