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Finding the Fourth Proportional to 313.14, 431.71 and 256.91

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Solution

The fourth proportional to 313.14, 431.71 and 256.91 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.14 : 431.71 = 256.91 : x
  2. Step 2: Convert to fraction form
    313.14/431.71 = 256.91/x
  3. Step 3: Cross multiply
    313.14x = 431.71 × 256.91
  4. Step 4: Simplify right side
    313.14x = 110,912.90
  5. Step 5: Solve for x
    x = 110,912.90/313.14
  6. Step 6: Final answer
    x = 354.20

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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.