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Finding the Fourth Proportional to 202.96, 303.96 and 160.24

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Solution

The fourth proportional to 202.96, 303.96 and 160.24 is: 239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.96 : 303.96 = 160.24 : x
  2. Step 2: Convert to fraction form
    202.96/303.96 = 160.24/x
  3. Step 3: Cross multiply
    202.96x = 303.96 × 160.24
  4. Step 4: Simplify right side
    202.96x = 48,706.55
  5. Step 5: Solve for x
    x = 48,706.55/202.96
  6. Step 6: Final answer
    x = 239.98

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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.