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Finding the Fourth Proportional to 282.50, 389.86 and 166.08

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Solution

The fourth proportional to 282.50, 389.86 and 166.08 is: 229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.50 : 389.86 = 166.08 : x
  2. Step 2: Convert to fraction form
    282.50/389.86 = 166.08/x
  3. Step 3: Cross multiply
    282.50x = 389.86 × 166.08
  4. Step 4: Simplify right side
    282.50x = 64,747.95
  5. Step 5: Solve for x
    x = 64,747.95/282.50
  6. Step 6: Final answer
    x = 229.20

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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.