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Finding the Fourth Proportional to 194.96, 293.50 and 172.58

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Solution

The fourth proportional to 194.96, 293.50 and 172.58 is: 259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.96 : 293.50 = 172.58 : x
  2. Step 2: Convert to fraction form
    194.96/293.50 = 172.58/x
  3. Step 3: Cross multiply
    194.96x = 293.50 × 172.58
  4. Step 4: Simplify right side
    194.96x = 50,652.23
  5. Step 5: Solve for x
    x = 50,652.23/194.96
  6. Step 6: Final answer
    x = 259.81

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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.