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Finding the Fourth Proportional to 193.02, 289.64 and 128.12

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Solution

The fourth proportional to 193.02, 289.64 and 128.12 is: 192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.02 : 289.64 = 128.12 : x
  2. Step 2: Convert to fraction form
    193.02/289.64 = 128.12/x
  3. Step 3: Cross multiply
    193.02x = 289.64 × 128.12
  4. Step 4: Simplify right side
    193.02x = 37,107.55
  5. Step 5: Solve for x
    x = 37,107.55/193.02
  6. Step 6: Final answer
    x = 192.25

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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.