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Finding the Fourth Proportional to 384.72, 573.66 and 367.80

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Solution

The fourth proportional to 384.72, 573.66 and 367.80 is: 548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.72 : 573.66 = 367.80 : x
  2. Step 2: Convert to fraction form
    384.72/573.66 = 367.80/x
  3. Step 3: Cross multiply
    384.72x = 573.66 × 367.80
  4. Step 4: Simplify right side
    384.72x = 210,992.15
  5. Step 5: Solve for x
    x = 210,992.15/384.72
  6. Step 6: Final answer
    x = 548.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.