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Finding the Fourth Proportional to 313.29, 431.42 and 268.70

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Solution

The fourth proportional to 313.29, 431.42 and 268.70 is: 370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.29 : 431.42 = 268.70 : x
  2. Step 2: Convert to fraction form
    313.29/431.42 = 268.70/x
  3. Step 3: Cross multiply
    313.29x = 431.42 × 268.70
  4. Step 4: Simplify right side
    313.29x = 115,921.21
  5. Step 5: Solve for x
    x = 115,921.21/313.29
  6. Step 6: Final answer
    x = 370.01

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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.