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Finding the Fourth Proportional to 202.59, 302.59 and 161.89

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Solution

The fourth proportional to 202.59, 302.59 and 161.89 is: 241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.59 : 302.59 = 161.89 : x
  2. Step 2: Convert to fraction form
    202.59/302.59 = 161.89/x
  3. Step 3: Cross multiply
    202.59x = 302.59 × 161.89
  4. Step 4: Simplify right side
    202.59x = 48,986.30
  5. Step 5: Solve for x
    x = 48,986.30/202.59
  6. Step 6: Final answer
    x = 241.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.