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Finding the Fourth Proportional to 282.80, 390.28 and 166.42

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Solution

The fourth proportional to 282.80, 390.28 and 166.42 is: 229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.80 : 390.28 = 166.42 : x
  2. Step 2: Convert to fraction form
    282.80/390.28 = 166.42/x
  3. Step 3: Cross multiply
    282.80x = 390.28 × 166.42
  4. Step 4: Simplify right side
    282.80x = 64,950.40
  5. Step 5: Solve for x
    x = 64,950.40/282.80
  6. Step 6: Final answer
    x = 229.67

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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.