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Finding the Fourth Proportional to 172.02, 235.33 and 171.28

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Solution

The fourth proportional to 172.02, 235.33 and 171.28 is: 234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.02 : 235.33 = 171.28 : x
  2. Step 2: Convert to fraction form
    172.02/235.33 = 171.28/x
  3. Step 3: Cross multiply
    172.02x = 235.33 × 171.28
  4. Step 4: Simplify right side
    172.02x = 40,307.83
  5. Step 5: Solve for x
    x = 40,307.83/172.02
  6. Step 6: Final answer
    x = 234.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.