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Finding the Fourth Proportional to 292.15, 403.94 and 255.70

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Solution

The fourth proportional to 292.15, 403.94 and 255.70 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.15 : 403.94 = 255.70 : x
  2. Step 2: Convert to fraction form
    292.15/403.94 = 255.70/x
  3. Step 3: Cross multiply
    292.15x = 403.94 × 255.70
  4. Step 4: Simplify right side
    292.15x = 103,287.46
  5. Step 5: Solve for x
    x = 103,287.46/292.15
  6. Step 6: Final answer
    x = 353.54

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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.