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Finding the Fourth Proportional to 338.99, 467.78 and 265.48

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Solution

The fourth proportional to 338.99, 467.78 and 265.48 is: 366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.99 : 467.78 = 265.48 : x
  2. Step 2: Convert to fraction form
    338.99/467.78 = 265.48/x
  3. Step 3: Cross multiply
    338.99x = 467.78 × 265.48
  4. Step 4: Simplify right side
    338.99x = 124,183.74
  5. Step 5: Solve for x
    x = 124,183.74/338.99
  6. Step 6: Final answer
    x = 366.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.