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Finding the Fourth Proportional to 263.47, 394.66 and 260.23

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Solution

The fourth proportional to 263.47, 394.66 and 260.23 is: 389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.47 : 394.66 = 260.23 : x
  2. Step 2: Convert to fraction form
    263.47/394.66 = 260.23/x
  3. Step 3: Cross multiply
    263.47x = 394.66 × 260.23
  4. Step 4: Simplify right side
    263.47x = 102,702.37
  5. Step 5: Solve for x
    x = 102,702.37/263.47
  6. Step 6: Final answer
    x = 389.81

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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.