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Finding the Fourth Proportional to 360.24, 497.12 and 220.33

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Solution

The fourth proportional to 360.24, 497.12 and 220.33 is: 304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 497.12 = 220.33 : x
  2. Step 2: Convert to fraction form
    360.24/497.12 = 220.33/x
  3. Step 3: Cross multiply
    360.24x = 497.12 × 220.33
  4. Step 4: Simplify right side
    360.24x = 109,529.35
  5. Step 5: Solve for x
    x = 109,529.35/360.24
  6. Step 6: Final answer
    x = 304.05

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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.