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Finding the Fourth Proportional to 384.47, 529.80 and 326.15

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Solution

The fourth proportional to 384.47, 529.80 and 326.15 is: 449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.47 : 529.80 = 326.15 : x
  2. Step 2: Convert to fraction form
    384.47/529.80 = 326.15/x
  3. Step 3: Cross multiply
    384.47x = 529.80 × 326.15
  4. Step 4: Simplify right side
    384.47x = 172,794.27
  5. Step 5: Solve for x
    x = 172,794.27/384.47
  6. Step 6: Final answer
    x = 449.43

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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.