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Finding the Fourth Proportional to 312.80, 431.53 and 224.26

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Solution

The fourth proportional to 312.80, 431.53 and 224.26 is: 309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.80 : 431.53 = 224.26 : x
  2. Step 2: Convert to fraction form
    312.80/431.53 = 224.26/x
  3. Step 3: Cross multiply
    312.80x = 431.53 × 224.26
  4. Step 4: Simplify right side
    312.80x = 96,773.28
  5. Step 5: Solve for x
    x = 96,773.28/312.80
  6. Step 6: Final answer
    x = 309.38

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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.