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Finding the Fourth Proportional to 380.61, 566.60 and 378.56

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Solution

The fourth proportional to 380.61, 566.60 and 378.56 is: 563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.61 : 566.60 = 378.56 : x
  2. Step 2: Convert to fraction form
    380.61/566.60 = 378.56/x
  3. Step 3: Cross multiply
    380.61x = 566.60 × 378.56
  4. Step 4: Simplify right side
    380.61x = 214,487.37
  5. Step 5: Solve for x
    x = 214,487.37/380.61
  6. Step 6: Final answer
    x = 563.54

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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.