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Finding the Fourth Proportional to 193.01, 289.08 and 141.50

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Solution

The fourth proportional to 193.01, 289.08 and 141.50 is: 211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.01 : 289.08 = 141.50 : x
  2. Step 2: Convert to fraction form
    193.01/289.08 = 141.50/x
  3. Step 3: Cross multiply
    193.01x = 289.08 × 141.50
  4. Step 4: Simplify right side
    193.01x = 40,903.37
  5. Step 5: Solve for x
    x = 40,903.37/193.01
  6. Step 6: Final answer
    x = 211.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.