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Finding the Fourth Proportional to 360.67, 497.71 and 220.87

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Solution

The fourth proportional to 360.67, 497.71 and 220.87 is: 304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.67 : 497.71 = 220.87 : x
  2. Step 2: Convert to fraction form
    360.67/497.71 = 220.87/x
  3. Step 3: Cross multiply
    360.67x = 497.71 × 220.87
  4. Step 4: Simplify right side
    360.67x = 109,929.21
  5. Step 5: Solve for x
    x = 109,929.21/360.67
  6. Step 6: Final answer
    x = 304.79

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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.