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Finding the Fourth Proportional to 200.30, 274.74 and 192.20

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Solution

The fourth proportional to 200.30, 274.74 and 192.20 is: 263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 274.74 = 192.20 : x
  2. Step 2: Convert to fraction form
    200.30/274.74 = 192.20/x
  3. Step 3: Cross multiply
    200.30x = 274.74 × 192.20
  4. Step 4: Simplify right side
    200.30x = 52,804.07
  5. Step 5: Solve for x
    x = 52,804.07/200.30
  6. Step 6: Final answer
    x = 263.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.