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Finding the Fourth Proportional to 196.53, 293.08 and 172.27

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Solution

The fourth proportional to 196.53, 293.08 and 172.27 is: 256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.53 : 293.08 = 172.27 : x
  2. Step 2: Convert to fraction form
    196.53/293.08 = 172.27/x
  3. Step 3: Cross multiply
    196.53x = 293.08 × 172.27
  4. Step 4: Simplify right side
    196.53x = 50,488.74
  5. Step 5: Solve for x
    x = 50,488.74/196.53
  6. Step 6: Final answer
    x = 256.90

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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.