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Finding the Fourth Proportional to 294.11, 405.64 and 255.23

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Solution

The fourth proportional to 294.11, 405.64 and 255.23 is: 352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.11 : 405.64 = 255.23 : x
  2. Step 2: Convert to fraction form
    294.11/405.64 = 255.23/x
  3. Step 3: Cross multiply
    294.11x = 405.64 × 255.23
  4. Step 4: Simplify right side
    294.11x = 103,531.50
  5. Step 5: Solve for x
    x = 103,531.50/294.11
  6. Step 6: Final answer
    x = 352.02

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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.