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Finding the Fourth Proportional to 193.25, 288.43 and 174.80

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Solution

The fourth proportional to 193.25, 288.43 and 174.80 is: 260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.25 : 288.43 = 174.80 : x
  2. Step 2: Convert to fraction form
    193.25/288.43 = 174.80/x
  3. Step 3: Cross multiply
    193.25x = 288.43 × 174.80
  4. Step 4: Simplify right side
    193.25x = 50,417.85
  5. Step 5: Solve for x
    x = 50,417.85/193.25
  6. Step 6: Final answer
    x = 260.89

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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.