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Finding the Fourth Proportional to 200.23, 297.99 and 199.63

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Solution

The fourth proportional to 200.23, 297.99 and 199.63 is: 297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.23 : 297.99 = 199.63 : x
  2. Step 2: Convert to fraction form
    200.23/297.99 = 199.63/x
  3. Step 3: Cross multiply
    200.23x = 297.99 × 199.63
  4. Step 4: Simplify right side
    200.23x = 59,487.74
  5. Step 5: Solve for x
    x = 59,487.74/200.23
  6. Step 6: Final answer
    x = 297.10

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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.