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Finding the Fourth Proportional to 183.23, 272.95 and 172.02

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Solution

The fourth proportional to 183.23, 272.95 and 172.02 is: 256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.23 : 272.95 = 172.02 : x
  2. Step 2: Convert to fraction form
    183.23/272.95 = 172.02/x
  3. Step 3: Cross multiply
    183.23x = 272.95 × 172.02
  4. Step 4: Simplify right side
    183.23x = 46,954.42
  5. Step 5: Solve for x
    x = 46,954.42/183.23
  6. Step 6: Final answer
    x = 256.26

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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.