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Finding the Fourth Proportional to 312.63, 431.43 and 174.63

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Solution

The fourth proportional to 312.63, 431.43 and 174.63 is: 240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.63 : 431.43 = 174.63 : x
  2. Step 2: Convert to fraction form
    312.63/431.43 = 174.63/x
  3. Step 3: Cross multiply
    312.63x = 431.43 × 174.63
  4. Step 4: Simplify right side
    312.63x = 75,337.59
  5. Step 5: Solve for x
    x = 75,337.59/312.63
  6. Step 6: Final answer
    x = 240.98

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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.