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Finding the Fourth Proportional to 366.53, 505.78 and 219.22

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Solution

The fourth proportional to 366.53, 505.78 and 219.22 is: 302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.53 : 505.78 = 219.22 : x
  2. Step 2: Convert to fraction form
    366.53/505.78 = 219.22/x
  3. Step 3: Cross multiply
    366.53x = 505.78 × 219.22
  4. Step 4: Simplify right side
    366.53x = 110,877.09
  5. Step 5: Solve for x
    x = 110,877.09/366.53
  6. Step 6: Final answer
    x = 302.50

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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.