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Finding the Fourth Proportional to 366.56, 505.80 and 228.56

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Solution

The fourth proportional to 366.56, 505.80 and 228.56 is: 315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.56 : 505.80 = 228.56 : x
  2. Step 2: Convert to fraction form
    366.56/505.80 = 228.56/x
  3. Step 3: Cross multiply
    366.56x = 505.80 × 228.56
  4. Step 4: Simplify right side
    366.56x = 115,605.65
  5. Step 5: Solve for x
    x = 115,605.65/366.56
  6. Step 6: Final answer
    x = 315.38

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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.