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Finding the Fourth Proportional to 314.13, 433.41 and 189.78

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Solution

The fourth proportional to 314.13, 433.41 and 189.78 is: 261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.13 : 433.41 = 189.78 : x
  2. Step 2: Convert to fraction form
    314.13/433.41 = 189.78/x
  3. Step 3: Cross multiply
    314.13x = 433.41 × 189.78
  4. Step 4: Simplify right side
    314.13x = 82,254.18
  5. Step 5: Solve for x
    x = 82,254.18/314.13
  6. Step 6: Final answer
    x = 261.85

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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.