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Finding the Fourth Proportional to 233.08, 320.95 and 201.94

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Solution

The fourth proportional to 233.08, 320.95 and 201.94 is: 278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.08 : 320.95 = 201.94 : x
  2. Step 2: Convert to fraction form
    233.08/320.95 = 201.94/x
  3. Step 3: Cross multiply
    233.08x = 320.95 × 201.94
  4. Step 4: Simplify right side
    233.08x = 64,812.64
  5. Step 5: Solve for x
    x = 64,812.64/233.08
  6. Step 6: Final answer
    x = 278.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.