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Finding the Fourth Proportional to 294.50, 406.55 and 201.49

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Solution

The fourth proportional to 294.50, 406.55 and 201.49 is: 278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.50 : 406.55 = 201.49 : x
  2. Step 2: Convert to fraction form
    294.50/406.55 = 201.49/x
  3. Step 3: Cross multiply
    294.50x = 406.55 × 201.49
  4. Step 4: Simplify right side
    294.50x = 81,915.25
  5. Step 5: Solve for x
    x = 81,915.25/294.50
  6. Step 6: Final answer
    x = 278.15

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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.