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Finding the Fourth Proportional to 192.79, 287.32 and 186.64

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Solution

The fourth proportional to 192.79, 287.32 and 186.64 is: 278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.79 : 287.32 = 186.64 : x
  2. Step 2: Convert to fraction form
    192.79/287.32 = 186.64/x
  3. Step 3: Cross multiply
    192.79x = 287.32 × 186.64
  4. Step 4: Simplify right side
    192.79x = 53,625.40
  5. Step 5: Solve for x
    x = 53,625.40/192.79
  6. Step 6: Final answer
    x = 278.15

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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.