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Finding the Fourth Proportional to 180.23, 268.54 and 172.37

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Solution

The fourth proportional to 180.23, 268.54 and 172.37 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 268.54 = 172.37 : x
  2. Step 2: Convert to fraction form
    180.23/268.54 = 172.37/x
  3. Step 3: Cross multiply
    180.23x = 268.54 × 172.37
  4. Step 4: Simplify right side
    180.23x = 46,288.24
  5. Step 5: Solve for x
    x = 46,288.24/180.23
  6. Step 6: Final answer
    x = 256.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.