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Finding the Fourth Proportional to 910.09, 1,364.94 and 260.68

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Solution

The fourth proportional to 910.09, 1,364.94 and 260.68 is: 390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.09 : 1,364.94 = 260.68 : x
  2. Step 2: Convert to fraction form
    910.09/1,364.94 = 260.68/x
  3. Step 3: Cross multiply
    910.09x = 1,364.94 × 260.68
  4. Step 4: Simplify right side
    910.09x = 355,805.73
  5. Step 5: Solve for x
    x = 355,805.73/910.09
  6. Step 6: Final answer
    x = 390.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.