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Finding the Fourth Proportional to 360.54, 497.61 and 213.22

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Solution

The fourth proportional to 360.54, 497.61 and 213.22 is: 294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.54 : 497.61 = 213.22 : x
  2. Step 2: Convert to fraction form
    360.54/497.61 = 213.22/x
  3. Step 3: Cross multiply
    360.54x = 497.61 × 213.22
  4. Step 4: Simplify right side
    360.54x = 106,100.40
  5. Step 5: Solve for x
    x = 106,100.40/360.54
  6. Step 6: Final answer
    x = 294.28

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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.