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Finding the Fourth Proportional to 365.96, 505.01 and 216.55

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Solution

The fourth proportional to 365.96, 505.01 and 216.55 is: 298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.96 : 505.01 = 216.55 : x
  2. Step 2: Convert to fraction form
    365.96/505.01 = 216.55/x
  3. Step 3: Cross multiply
    365.96x = 505.01 × 216.55
  4. Step 4: Simplify right side
    365.96x = 109,359.92
  5. Step 5: Solve for x
    x = 109,359.92/365.96
  6. Step 6: Final answer
    x = 298.83

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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.