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Finding the Fourth Proportional to 360.41, 497.07 and 222.17

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Solution

The fourth proportional to 360.41, 497.07 and 222.17 is: 306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.41 : 497.07 = 222.17 : x
  2. Step 2: Convert to fraction form
    360.41/497.07 = 222.17/x
  3. Step 3: Cross multiply
    360.41x = 497.07 × 222.17
  4. Step 4: Simplify right side
    360.41x = 110,432.93
  5. Step 5: Solve for x
    x = 110,432.93/360.41
  6. Step 6: Final answer
    x = 306.41

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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.