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Finding the Fourth Proportional to 192.64, 287.32 and 189.40

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Solution

The fourth proportional to 192.64, 287.32 and 189.40 is: 282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.64 : 287.32 = 189.40 : x
  2. Step 2: Convert to fraction form
    192.64/287.32 = 189.40/x
  3. Step 3: Cross multiply
    192.64x = 287.32 × 189.40
  4. Step 4: Simplify right side
    192.64x = 54,418.41
  5. Step 5: Solve for x
    x = 54,418.41/192.64
  6. Step 6: Final answer
    x = 282.49

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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.