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Finding the Fourth Proportional to 172.71, 258.93 and 160.83

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Solution

The fourth proportional to 172.71, 258.93 and 160.83 is: 241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.71 : 258.93 = 160.83 : x
  2. Step 2: Convert to fraction form
    172.71/258.93 = 160.83/x
  3. Step 3: Cross multiply
    172.71x = 258.93 × 160.83
  4. Step 4: Simplify right side
    172.71x = 41,643.71
  5. Step 5: Solve for x
    x = 41,643.71/172.71
  6. Step 6: Final answer
    x = 241.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.