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Finding the Fourth Proportional to 202.06, 302.90 and 86.43

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Solution

The fourth proportional to 202.06, 302.90 and 86.43 is: 129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.06 : 302.90 = 86.43 : x
  2. Step 2: Convert to fraction form
    202.06/302.90 = 86.43/x
  3. Step 3: Cross multiply
    202.06x = 302.90 × 86.43
  4. Step 4: Simplify right side
    202.06x = 26,179.65
  5. Step 5: Solve for x
    x = 26,179.65/202.06
  6. Step 6: Final answer
    x = 129.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.