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Finding the Fourth Proportional to 366.46, 505.76 and 219.17

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Solution

The fourth proportional to 366.46, 505.76 and 219.17 is: 302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.46 : 505.76 = 219.17 : x
  2. Step 2: Convert to fraction form
    366.46/505.76 = 219.17/x
  3. Step 3: Cross multiply
    366.46x = 505.76 × 219.17
  4. Step 4: Simplify right side
    366.46x = 110,847.59
  5. Step 5: Solve for x
    x = 110,847.59/366.46
  6. Step 6: Final answer
    x = 302.48

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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.