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Finding the Fourth Proportional to 312.54, 431.70 and 253.91

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Solution

The fourth proportional to 312.54, 431.70 and 253.91 is: 350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.54 : 431.70 = 253.91 : x
  2. Step 2: Convert to fraction form
    312.54/431.70 = 253.91/x
  3. Step 3: Cross multiply
    312.54x = 431.70 × 253.91
  4. Step 4: Simplify right side
    312.54x = 109,615.22
  5. Step 5: Solve for x
    x = 109,615.22/312.54
  6. Step 6: Final answer
    x = 350.73

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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.