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Finding the Fourth Proportional to 312.35, 431.07 and 214.13

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Solution

The fourth proportional to 312.35, 431.07 and 214.13 is: 295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.35 : 431.07 = 214.13 : x
  2. Step 2: Convert to fraction form
    312.35/431.07 = 214.13/x
  3. Step 3: Cross multiply
    312.35x = 431.07 × 214.13
  4. Step 4: Simplify right side
    312.35x = 92,302.86
  5. Step 5: Solve for x
    x = 92,302.86/312.35
  6. Step 6: Final answer
    x = 295.52

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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.