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Finding the Fourth Proportional to 380.80, 567.74 and 371.32

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Solution

The fourth proportional to 380.80, 567.74 and 371.32 is: 553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.80 : 567.74 = 371.32 : x
  2. Step 2: Convert to fraction form
    380.80/567.74 = 371.32/x
  3. Step 3: Cross multiply
    380.80x = 567.74 × 371.32
  4. Step 4: Simplify right side
    380.80x = 210,813.22
  5. Step 5: Solve for x
    x = 210,813.22/380.80
  6. Step 6: Final answer
    x = 553.61

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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.