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Finding the Fourth Proportional to 194.17, 289.38 and 193.87

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Solution

The fourth proportional to 194.17, 289.38 and 193.87 is: 288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.17 : 289.38 = 193.87 : x
  2. Step 2: Convert to fraction form
    194.17/289.38 = 193.87/x
  3. Step 3: Cross multiply
    194.17x = 289.38 × 193.87
  4. Step 4: Simplify right side
    194.17x = 56,102.10
  5. Step 5: Solve for x
    x = 56,102.10/194.17
  6. Step 6: Final answer
    x = 288.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.