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Finding the Fourth Proportional to 193.29, 288.26 and 177.54

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Solution

The fourth proportional to 193.29, 288.26 and 177.54 is: 264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.29 : 288.26 = 177.54 : x
  2. Step 2: Convert to fraction form
    193.29/288.26 = 177.54/x
  3. Step 3: Cross multiply
    193.29x = 288.26 × 177.54
  4. Step 4: Simplify right side
    193.29x = 51,176.79
  5. Step 5: Solve for x
    x = 51,176.79/193.29
  6. Step 6: Final answer
    x = 264.77

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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.