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Finding the Fourth Proportional to 294.70, 405.73 and 255.90

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Solution

The fourth proportional to 294.70, 405.73 and 255.90 is: 352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.70 : 405.73 = 255.90 : x
  2. Step 2: Convert to fraction form
    294.70/405.73 = 255.90/x
  3. Step 3: Cross multiply
    294.70x = 405.73 × 255.90
  4. Step 4: Simplify right side
    294.70x = 103,826.31
  5. Step 5: Solve for x
    x = 103,826.31/294.70
  6. Step 6: Final answer
    x = 352.31

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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.