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Finding the Fourth Proportional to 172.26, 259.71 and 160.50

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Solution

The fourth proportional to 172.26, 259.71 and 160.50 is: 241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.26 : 259.71 = 160.50 : x
  2. Step 2: Convert to fraction form
    172.26/259.71 = 160.50/x
  3. Step 3: Cross multiply
    172.26x = 259.71 × 160.50
  4. Step 4: Simplify right side
    172.26x = 41,683.46
  5. Step 5: Solve for x
    x = 41,683.46/172.26
  6. Step 6: Final answer
    x = 241.98

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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.