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Finding the Fourth Proportional to 192.64, 288.96 and 189.40

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Solution

The fourth proportional to 192.64, 288.96 and 189.40 is: 284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.64 : 288.96 = 189.40 : x
  2. Step 2: Convert to fraction form
    192.64/288.96 = 189.40/x
  3. Step 3: Cross multiply
    192.64x = 288.96 × 189.40
  4. Step 4: Simplify right side
    192.64x = 54,729.02
  5. Step 5: Solve for x
    x = 54,729.02/192.64
  6. Step 6: Final answer
    x = 284.10

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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.