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Finding the Fourth Proportional to 380.70, 566.70 and 376.56

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Solution

The fourth proportional to 380.70, 566.70 and 376.56 is: 560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 566.70 = 376.56 : x
  2. Step 2: Convert to fraction form
    380.70/566.70 = 376.56/x
  3. Step 3: Cross multiply
    380.70x = 566.70 × 376.56
  4. Step 4: Simplify right side
    380.70x = 213,396.55
  5. Step 5: Solve for x
    x = 213,396.55/380.70
  6. Step 6: Final answer
    x = 560.54

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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.