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Finding the Fourth Proportional to 193.29, 266.86 and 146.67

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Solution

The fourth proportional to 193.29, 266.86 and 146.67 is: 202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.29 : 266.86 = 146.67 : x
  2. Step 2: Convert to fraction form
    193.29/266.86 = 146.67/x
  3. Step 3: Cross multiply
    193.29x = 266.86 × 146.67
  4. Step 4: Simplify right side
    193.29x = 39,139.54
  5. Step 5: Solve for x
    x = 39,139.54/193.29
  6. Step 6: Final answer
    x = 202.49

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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.