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Finding the Fourth Proportional to 202.16, 302.96 and 104.68

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Solution

The fourth proportional to 202.16, 302.96 and 104.68 is: 156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 302.96 = 104.68 : x
  2. Step 2: Convert to fraction form
    202.16/302.96 = 104.68/x
  3. Step 3: Cross multiply
    202.16x = 302.96 × 104.68
  4. Step 4: Simplify right side
    202.16x = 31,713.85
  5. Step 5: Solve for x
    x = 31,713.85/202.16
  6. Step 6: Final answer
    x = 156.88

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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.