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Finding the Fourth Proportional to 202.20, 302.94 and 93.80

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Solution

The fourth proportional to 202.20, 302.94 and 93.80 is: 140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.20 : 302.94 = 93.80 : x
  2. Step 2: Convert to fraction form
    202.20/302.94 = 93.80/x
  3. Step 3: Cross multiply
    202.20x = 302.94 × 93.80
  4. Step 4: Simplify right side
    202.20x = 28,415.77
  5. Step 5: Solve for x
    x = 28,415.77/202.20
  6. Step 6: Final answer
    x = 140.53

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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.