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Finding the Fourth Proportional to 381.64, 526.26 and 326.56

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Solution

The fourth proportional to 381.64, 526.26 and 326.56 is: 450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.64 : 526.26 = 326.56 : x
  2. Step 2: Convert to fraction form
    381.64/526.26 = 326.56/x
  3. Step 3: Cross multiply
    381.64x = 526.26 × 326.56
  4. Step 4: Simplify right side
    381.64x = 171,852.83
  5. Step 5: Solve for x
    x = 171,852.83/381.64
  6. Step 6: Final answer
    x = 450.31

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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.