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Finding the Fourth Proportional to 314.22, 433.65 and 189.88

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Solution

The fourth proportional to 314.22, 433.65 and 189.88 is: 262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.22 : 433.65 = 189.88 : x
  2. Step 2: Convert to fraction form
    314.22/433.65 = 189.88/x
  3. Step 3: Cross multiply
    314.22x = 433.65 × 189.88
  4. Step 4: Simplify right side
    314.22x = 82,341.09
  5. Step 5: Solve for x
    x = 82,341.09/314.22
  6. Step 6: Final answer
    x = 262.05

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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.