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Finding the Fourth Proportional to 294.54, 406.40 and 201.12

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Solution

The fourth proportional to 294.54, 406.40 and 201.12 is: 277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.54 : 406.40 = 201.12 : x
  2. Step 2: Convert to fraction form
    294.54/406.40 = 201.12/x
  3. Step 3: Cross multiply
    294.54x = 406.40 × 201.12
  4. Step 4: Simplify right side
    294.54x = 81,734.16
  5. Step 5: Solve for x
    x = 81,734.16/294.54
  6. Step 6: Final answer
    x = 277.50

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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.