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Finding the Fourth Proportional to 378.43, 566.87 and 365.39

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Solution

The fourth proportional to 378.43, 566.87 and 365.39 is: 547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.43 : 566.87 = 365.39 : x
  2. Step 2: Convert to fraction form
    378.43/566.87 = 365.39/x
  3. Step 3: Cross multiply
    378.43x = 566.87 × 365.39
  4. Step 4: Simplify right side
    378.43x = 207,128.63
  5. Step 5: Solve for x
    x = 207,128.63/378.43
  6. Step 6: Final answer
    x = 547.34

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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.