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Finding the Fourth Proportional to 193.06, 291.19 and 170.53

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Solution

The fourth proportional to 193.06, 291.19 and 170.53 is: 257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.06 : 291.19 = 170.53 : x
  2. Step 2: Convert to fraction form
    193.06/291.19 = 170.53/x
  3. Step 3: Cross multiply
    193.06x = 291.19 × 170.53
  4. Step 4: Simplify right side
    193.06x = 49,656.63
  5. Step 5: Solve for x
    x = 49,656.63/193.06
  6. Step 6: Final answer
    x = 257.21

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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.