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Finding the Fourth Proportional to 312.83, 431.78 and 214.63

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Solution

The fourth proportional to 312.83, 431.78 and 214.63 is: 296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.83 : 431.78 = 214.63 : x
  2. Step 2: Convert to fraction form
    312.83/431.78 = 214.63/x
  3. Step 3: Cross multiply
    312.83x = 431.78 × 214.63
  4. Step 4: Simplify right side
    312.83x = 92,672.94
  5. Step 5: Solve for x
    x = 92,672.94/312.83
  6. Step 6: Final answer
    x = 296.24

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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.