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Finding the Fourth Proportional to 180.99, 272.82 and 172.04

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Solution

The fourth proportional to 180.99, 272.82 and 172.04 is: 259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.99 : 272.82 = 172.04 : x
  2. Step 2: Convert to fraction form
    180.99/272.82 = 172.04/x
  3. Step 3: Cross multiply
    180.99x = 272.82 × 172.04
  4. Step 4: Simplify right side
    180.99x = 46,934.59
  5. Step 5: Solve for x
    x = 46,934.59/180.99
  6. Step 6: Final answer
    x = 259.32

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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.