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Finding the Fourth Proportional to 366.10, 505.37 and 255.64

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Solution

The fourth proportional to 366.10, 505.37 and 255.64 is: 352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.10 : 505.37 = 255.64 : x
  2. Step 2: Convert to fraction form
    366.10/505.37 = 255.64/x
  3. Step 3: Cross multiply
    366.10x = 505.37 × 255.64
  4. Step 4: Simplify right side
    366.10x = 129,192.79
  5. Step 5: Solve for x
    x = 129,192.79/366.10
  6. Step 6: Final answer
    x = 352.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.