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Finding the Fourth Proportional to 314.03, 433.14 and 195.91

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Solution

The fourth proportional to 314.03, 433.14 and 195.91 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.03 : 433.14 = 195.91 : x
  2. Step 2: Convert to fraction form
    314.03/433.14 = 195.91/x
  3. Step 3: Cross multiply
    314.03x = 433.14 × 195.91
  4. Step 4: Simplify right side
    314.03x = 84,856.46
  5. Step 5: Solve for x
    x = 84,856.46/314.03
  6. Step 6: Final answer
    x = 270.22

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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.