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Finding the Fourth Proportional to 313.10, 431.93 and 195.03

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Solution

The fourth proportional to 313.10, 431.93 and 195.03 is: 269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.10 : 431.93 = 195.03 : x
  2. Step 2: Convert to fraction form
    313.10/431.93 = 195.03/x
  3. Step 3: Cross multiply
    313.10x = 431.93 × 195.03
  4. Step 4: Simplify right side
    313.10x = 84,238.33
  5. Step 5: Solve for x
    x = 84,238.33/313.10
  6. Step 6: Final answer
    x = 269.05

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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.