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Finding the Fourth Proportional to 263.38, 360.79 and 260.50

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Solution

The fourth proportional to 263.38, 360.79 and 260.50 is: 356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.38 : 360.79 = 260.50 : x
  2. Step 2: Convert to fraction form
    263.38/360.79 = 260.50/x
  3. Step 3: Cross multiply
    263.38x = 360.79 × 260.50
  4. Step 4: Simplify right side
    263.38x = 93,984.49
  5. Step 5: Solve for x
    x = 93,984.49/263.38
  6. Step 6: Final answer
    x = 356.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.