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Finding the Fourth Proportional to 378.41, 563.48 and 364.58

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Solution

The fourth proportional to 378.41, 563.48 and 364.58 is: 542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.41 : 563.48 = 364.58 : x
  2. Step 2: Convert to fraction form
    378.41/563.48 = 364.58/x
  3. Step 3: Cross multiply
    378.41x = 563.48 × 364.58
  4. Step 4: Simplify right side
    378.41x = 205,430.72
  5. Step 5: Solve for x
    x = 205,430.72/378.41
  6. Step 6: Final answer
    x = 542.88

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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.