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Finding the Fourth Proportional to 202.25, 301.93 and 188.02

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Solution

The fourth proportional to 202.25, 301.93 and 188.02 is: 280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.25 : 301.93 = 188.02 : x
  2. Step 2: Convert to fraction form
    202.25/301.93 = 188.02/x
  3. Step 3: Cross multiply
    202.25x = 301.93 × 188.02
  4. Step 4: Simplify right side
    202.25x = 56,768.79
  5. Step 5: Solve for x
    x = 56,768.79/202.25
  6. Step 6: Final answer
    x = 280.69

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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.