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Finding the Fourth Proportional to 338.64, 467.01 and 288.87

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Solution

The fourth proportional to 338.64, 467.01 and 288.87 is: 398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 467.01 = 288.87 : x
  2. Step 2: Convert to fraction form
    338.64/467.01 = 288.87/x
  3. Step 3: Cross multiply
    338.64x = 467.01 × 288.87
  4. Step 4: Simplify right side
    338.64x = 134,903.93
  5. Step 5: Solve for x
    x = 134,903.93/338.64
  6. Step 6: Final answer
    x = 398.37

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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.