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Finding the Fourth Proportional to 295.70, 441.27 and 259.71

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Solution

The fourth proportional to 295.70, 441.27 and 259.71 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.70 : 441.27 = 259.71 : x
  2. Step 2: Convert to fraction form
    295.70/441.27 = 259.71/x
  3. Step 3: Cross multiply
    295.70x = 441.27 × 259.71
  4. Step 4: Simplify right side
    295.70x = 114,601.31
  5. Step 5: Solve for x
    x = 114,601.31/295.70
  6. Step 6: Final answer
    x = 387.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.