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Finding the Fourth Proportional to 366.78, 505.89 and 235.66

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Solution

The fourth proportional to 366.78, 505.89 and 235.66 is: 325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.78 : 505.89 = 235.66 : x
  2. Step 2: Convert to fraction form
    366.78/505.89 = 235.66/x
  3. Step 3: Cross multiply
    366.78x = 505.89 × 235.66
  4. Step 4: Simplify right side
    366.78x = 119,215.26
  5. Step 5: Solve for x
    x = 119,215.26/366.78
  6. Step 6: Final answer
    x = 325.04

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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.