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Finding the Fourth Proportional to 193.08, 290.79 and 170.51

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Solution

The fourth proportional to 193.08, 290.79 and 170.51 is: 256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 290.79 = 170.51 : x
  2. Step 2: Convert to fraction form
    193.08/290.79 = 170.51/x
  3. Step 3: Cross multiply
    193.08x = 290.79 × 170.51
  4. Step 4: Simplify right side
    193.08x = 49,582.60
  5. Step 5: Solve for x
    x = 49,582.60/193.08
  6. Step 6: Final answer
    x = 256.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.