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Finding the Fourth Proportional to 338.32, 465.84 and 260.56

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Solution

The fourth proportional to 338.32, 465.84 and 260.56 is: 358.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.32 : 465.84 = 260.56 : x
  2. Step 2: Convert to fraction form
    338.32/465.84 = 260.56/x
  3. Step 3: Cross multiply
    338.32x = 465.84 × 260.56
  4. Step 4: Simplify right side
    338.32x = 121,379.27
  5. Step 5: Solve for x
    x = 121,379.27/338.32
  6. Step 6: Final answer
    x = 358.77

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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.