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Finding the Fourth Proportional to 200.56, 300.16 and 123.58

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Solution

The fourth proportional to 200.56, 300.16 and 123.58 is: 184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.56 : 300.16 = 123.58 : x
  2. Step 2: Convert to fraction form
    200.56/300.16 = 123.58/x
  3. Step 3: Cross multiply
    200.56x = 300.16 × 123.58
  4. Step 4: Simplify right side
    200.56x = 37,093.77
  5. Step 5: Solve for x
    x = 37,093.77/200.56
  6. Step 6: Final answer
    x = 184.95

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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.