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Finding the Fourth Proportional to 427.17, 588.81 and 360.75

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Solution

The fourth proportional to 427.17, 588.81 and 360.75 is: 497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.17 : 588.81 = 360.75 : x
  2. Step 2: Convert to fraction form
    427.17/588.81 = 360.75/x
  3. Step 3: Cross multiply
    427.17x = 588.81 × 360.75
  4. Step 4: Simplify right side
    427.17x = 212,413.21
  5. Step 5: Solve for x
    x = 212,413.21/427.17
  6. Step 6: Final answer
    x = 497.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.