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Finding the Fourth Proportional to 230.06, 342.98 and 201.30

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Solution

The fourth proportional to 230.06, 342.98 and 201.30 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 342.98 = 201.30 : x
  2. Step 2: Convert to fraction form
    230.06/342.98 = 201.30/x
  3. Step 3: Cross multiply
    230.06x = 342.98 × 201.30
  4. Step 4: Simplify right side
    230.06x = 69,040.87
  5. Step 5: Solve for x
    x = 69,040.87/230.06
  6. Step 6: Final answer
    x = 300.11

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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.