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Finding the Fourth Proportional to 193.08, 266.54 and 147

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Solution

The fourth proportional to 193.08, 266.54 and 147 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 266.54 = 147 : x
  2. Step 2: Convert to fraction form
    193.08/266.54 = 147/x
  3. Step 3: Cross multiply
    193.08x = 266.54 × 147
  4. Step 4: Simplify right side
    193.08x = 39,181.38
  5. Step 5: Solve for x
    x = 39,181.38/193.08
  6. Step 6: Final answer
    x = 202.93

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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.