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Finding the Fourth Proportional to 366.96, 505.84 and 311.52

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Solution

The fourth proportional to 366.96, 505.84 and 311.52 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.96 : 505.84 = 311.52 : x
  2. Step 2: Convert to fraction form
    366.96/505.84 = 311.52/x
  3. Step 3: Cross multiply
    366.96x = 505.84 × 311.52
  4. Step 4: Simplify right side
    366.96x = 157,579.28
  5. Step 5: Solve for x
    x = 157,579.28/366.96
  6. Step 6: Final answer
    x = 429.42

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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.