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Finding the Fourth Proportional to 196.78, 271.47 and 147.10

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Solution

The fourth proportional to 196.78, 271.47 and 147.10 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.78 : 271.47 = 147.10 : x
  2. Step 2: Convert to fraction form
    196.78/271.47 = 147.10/x
  3. Step 3: Cross multiply
    196.78x = 271.47 × 147.10
  4. Step 4: Simplify right side
    196.78x = 39,933.24
  5. Step 5: Solve for x
    x = 39,933.24/196.78
  6. Step 6: Final answer
    x = 202.93

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