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Finding the Fourth Proportional to 193.73, 266.61 and 146.35

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Solution

The fourth proportional to 193.73, 266.61 and 146.35 is: 201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.73 : 266.61 = 146.35 : x
  2. Step 2: Convert to fraction form
    193.73/266.61 = 146.35/x
  3. Step 3: Cross multiply
    193.73x = 266.61 × 146.35
  4. Step 4: Simplify right side
    193.73x = 39,017.71
  5. Step 5: Solve for x
    x = 39,017.71/193.73
  6. Step 6: Final answer
    x = 201.40

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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.