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Finding the Fourth Proportional to 233.62, 348.81 and 201.08

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Solution

The fourth proportional to 233.62, 348.81 and 201.08 is: 300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.62 : 348.81 = 201.08 : x
  2. Step 2: Convert to fraction form
    233.62/348.81 = 201.08/x
  3. Step 3: Cross multiply
    233.62x = 348.81 × 201.08
  4. Step 4: Simplify right side
    233.62x = 70,138.83
  5. Step 5: Solve for x
    x = 70,138.83/233.62
  6. Step 6: Final answer
    x = 300.23

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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.