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Finding the Fourth Proportional to 360.30, 497.31 and 220.44

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Solution

The fourth proportional to 360.30, 497.31 and 220.44 is: 304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.30 : 497.31 = 220.44 : x
  2. Step 2: Convert to fraction form
    360.30/497.31 = 220.44/x
  3. Step 3: Cross multiply
    360.30x = 497.31 × 220.44
  4. Step 4: Simplify right side
    360.30x = 109,627.02
  5. Step 5: Solve for x
    x = 109,627.02/360.30
  6. Step 6: Final answer
    x = 304.27

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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.