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Finding the Fourth Proportional to 196.90, 271.40 and 155.39

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Solution

The fourth proportional to 196.90, 271.40 and 155.39 is: 214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.90 : 271.40 = 155.39 : x
  2. Step 2: Convert to fraction form
    196.90/271.40 = 155.39/x
  3. Step 3: Cross multiply
    196.90x = 271.40 × 155.39
  4. Step 4: Simplify right side
    196.90x = 42,170.71
  5. Step 5: Solve for x
    x = 42,170.71/196.90
  6. Step 6: Final answer
    x = 214.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.