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Finding the Fourth Proportional to 313.08, 431.42 and 208.06

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Solution

The fourth proportional to 313.08, 431.42 and 208.06 is: 286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.08 : 431.42 = 208.06 : x
  2. Step 2: Convert to fraction form
    313.08/431.42 = 208.06/x
  3. Step 3: Cross multiply
    313.08x = 431.42 × 208.06
  4. Step 4: Simplify right side
    313.08x = 89,761.25
  5. Step 5: Solve for x
    x = 89,761.25/313.08
  6. Step 6: Final answer
    x = 286.70

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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.