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Finding the Fourth Proportional to 193.39, 266.73 and 146.77

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Solution

The fourth proportional to 193.39, 266.73 and 146.77 is: 202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.39 : 266.73 = 146.77 : x
  2. Step 2: Convert to fraction form
    193.39/266.73 = 146.77/x
  3. Step 3: Cross multiply
    193.39x = 266.73 × 146.77
  4. Step 4: Simplify right side
    193.39x = 39,147.96
  5. Step 5: Solve for x
    x = 39,147.96/193.39
  6. Step 6: Final answer
    x = 202.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.