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Finding the Fourth Proportional to 195.11, 291.23 and 172.04

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Solution

The fourth proportional to 195.11, 291.23 and 172.04 is: 256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.11 : 291.23 = 172.04 : x
  2. Step 2: Convert to fraction form
    195.11/291.23 = 172.04/x
  3. Step 3: Cross multiply
    195.11x = 291.23 × 172.04
  4. Step 4: Simplify right side
    195.11x = 50,102.35
  5. Step 5: Solve for x
    x = 50,102.35/195.11
  6. Step 6: Final answer
    x = 256.80

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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.