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Finding the Fourth Proportional to 365.87, 505.14 and 218.55

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Solution

The fourth proportional to 365.87, 505.14 and 218.55 is: 301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.87 : 505.14 = 218.55 : x
  2. Step 2: Convert to fraction form
    365.87/505.14 = 218.55/x
  3. Step 3: Cross multiply
    365.87x = 505.14 × 218.55
  4. Step 4: Simplify right side
    365.87x = 110,396.58
  5. Step 5: Solve for x
    x = 110,396.58/365.87
  6. Step 6: Final answer
    x = 301.74

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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.