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Finding the Fourth Proportional to 365.57, 504.29 and 218.18

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Solution

The fourth proportional to 365.57, 504.29 and 218.18 is: 300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.57 : 504.29 = 218.18 : x
  2. Step 2: Convert to fraction form
    365.57/504.29 = 218.18/x
  3. Step 3: Cross multiply
    365.57x = 504.29 × 218.18
  4. Step 4: Simplify right side
    365.57x = 110,023.47
  5. Step 5: Solve for x
    x = 110,023.47/365.57
  6. Step 6: Final answer
    x = 300.96

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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.