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Finding the Fourth Proportional to 294.04, 405.75 and 163.05

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Solution

The fourth proportional to 294.04, 405.75 and 163.05 is: 225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.04 : 405.75 = 163.05 : x
  2. Step 2: Convert to fraction form
    294.04/405.75 = 163.05/x
  3. Step 3: Cross multiply
    294.04x = 405.75 × 163.05
  4. Step 4: Simplify right side
    294.04x = 66,157.54
  5. Step 5: Solve for x
    x = 66,157.54/294.04
  6. Step 6: Final answer
    x = 225.00

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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.