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Finding the Fourth Proportional to 202.16, 280 and 188.95

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Solution

The fourth proportional to 202.16, 280 and 188.95 is: 261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 280 = 188.95 : x
  2. Step 2: Convert to fraction form
    202.16/280 = 188.95/x
  3. Step 3: Cross multiply
    202.16x = 280 × 188.95
  4. Step 4: Simplify right side
    202.16x = 52,906
  5. Step 5: Solve for x
    x = 52,906/202.16
  6. Step 6: Final answer
    x = 261.70

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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.