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Finding the Fourth Proportional to 380.74, 567.79 and 360.26

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Solution

The fourth proportional to 380.74, 567.79 and 360.26 is: 537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.74 : 567.79 = 360.26 : x
  2. Step 2: Convert to fraction form
    380.74/567.79 = 360.26/x
  3. Step 3: Cross multiply
    380.74x = 567.79 × 360.26
  4. Step 4: Simplify right side
    380.74x = 204,552.03
  5. Step 5: Solve for x
    x = 204,552.03/380.74
  6. Step 6: Final answer
    x = 537.25

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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.