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Finding the Fourth Proportional to 378.50, 563.67 and 370.40

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Solution

The fourth proportional to 378.50, 563.67 and 370.40 is: 551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 563.67 = 370.40 : x
  2. Step 2: Convert to fraction form
    378.50/563.67 = 370.40/x
  3. Step 3: Cross multiply
    378.50x = 563.67 × 370.40
  4. Step 4: Simplify right side
    378.50x = 208,780.55
  5. Step 5: Solve for x
    x = 208,780.55/378.50
  6. Step 6: Final answer
    x = 551.61

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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.