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Finding the Fourth Proportional to 202.57, 302.08 and 191.46

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Solution

The fourth proportional to 202.57, 302.08 and 191.46 is: 285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.57 : 302.08 = 191.46 : x
  2. Step 2: Convert to fraction form
    202.57/302.08 = 191.46/x
  3. Step 3: Cross multiply
    202.57x = 302.08 × 191.46
  4. Step 4: Simplify right side
    202.57x = 57,836.24
  5. Step 5: Solve for x
    x = 57,836.24/202.57
  6. Step 6: Final answer
    x = 285.51

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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.