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Finding the Fourth Proportional to 265, 395.73 and 259

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Solution

The fourth proportional to 265, 395.73 and 259 is: 386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265 : 395.73 = 259 : x
  2. Step 2: Convert to fraction form
    265/395.73 = 259/x
  3. Step 3: Cross multiply
    265x = 395.73 × 259
  4. Step 4: Simplify right side
    265x = 102,494.07
  5. Step 5: Solve for x
    x = 102,494.07/265
  6. Step 6: Final answer
    x = 386.77

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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.