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Finding the Fourth Proportional to 202.46, 280.70 and 191.52

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Solution

The fourth proportional to 202.46, 280.70 and 191.52 is: 265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.46 : 280.70 = 191.52 : x
  2. Step 2: Convert to fraction form
    202.46/280.70 = 191.52/x
  3. Step 3: Cross multiply
    202.46x = 280.70 × 191.52
  4. Step 4: Simplify right side
    202.46x = 53,758.71
  5. Step 5: Solve for x
    x = 53,758.71/202.46
  6. Step 6: Final answer
    x = 265.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.