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Finding the Fourth Proportional to 314.33, 433.59 and 189.95

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Solution

The fourth proportional to 314.33, 433.59 and 189.95 is: 262.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.33 : 433.59 = 189.95 : x
  2. Step 2: Convert to fraction form
    314.33/433.59 = 189.95/x
  3. Step 3: Cross multiply
    314.33x = 433.59 × 189.95
  4. Step 4: Simplify right side
    314.33x = 82,358.25
  5. Step 5: Solve for x
    x = 82,358.25/314.33
  6. Step 6: Final answer
    x = 262.02

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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.