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Finding the Fourth Proportional to 196.77, 271.40 and 133.77

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Solution

The fourth proportional to 196.77, 271.40 and 133.77 is: 184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.77 : 271.40 = 133.77 : x
  2. Step 2: Convert to fraction form
    196.77/271.40 = 133.77/x
  3. Step 3: Cross multiply
    196.77x = 271.40 × 133.77
  4. Step 4: Simplify right side
    196.77x = 36,304.51
  5. Step 5: Solve for x
    x = 36,304.51/196.77
  6. Step 6: Final answer
    x = 184.50

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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.