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Finding the Fourth Proportional to 233.40, 349.38 and 201

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Solution

The fourth proportional to 233.40, 349.38 and 201 is: 300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.40 : 349.38 = 201 : x
  2. Step 2: Convert to fraction form
    233.40/349.38 = 201/x
  3. Step 3: Cross multiply
    233.40x = 349.38 × 201
  4. Step 4: Simplify right side
    233.40x = 70,225.38
  5. Step 5: Solve for x
    x = 70,225.38/233.40
  6. Step 6: Final answer
    x = 300.88

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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.