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Finding the Fourth Proportional to 380.18, 566.80 and 370.56

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Solution

The fourth proportional to 380.18, 566.80 and 370.56 is: 552.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.18 : 566.80 = 370.56 : x
  2. Step 2: Convert to fraction form
    380.18/566.80 = 370.56/x
  3. Step 3: Cross multiply
    380.18x = 566.80 × 370.56
  4. Step 4: Simplify right side
    380.18x = 210,033.41
  5. Step 5: Solve for x
    x = 210,033.41/380.18
  6. Step 6: Final answer
    x = 552.46

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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.