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Finding the Fourth Proportional to 282.83, 390.21 and 189.66

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Solution

The fourth proportional to 282.83, 390.21 and 189.66 is: 261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.83 : 390.21 = 189.66 : x
  2. Step 2: Convert to fraction form
    282.83/390.21 = 189.66/x
  3. Step 3: Cross multiply
    282.83x = 390.21 × 189.66
  4. Step 4: Simplify right side
    282.83x = 74,007.98
  5. Step 5: Solve for x
    x = 74,007.98/282.83
  6. Step 6: Final answer
    x = 261.67

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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.