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Finding the Fourth Proportional to 384.25, 530.22 and 218.44

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Solution

The fourth proportional to 384.25, 530.22 and 218.44 is: 301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.25 : 530.22 = 218.44 : x
  2. Step 2: Convert to fraction form
    384.25/530.22 = 218.44/x
  3. Step 3: Cross multiply
    384.25x = 530.22 × 218.44
  4. Step 4: Simplify right side
    384.25x = 115,818.61
  5. Step 5: Solve for x
    x = 115,818.61/384.25
  6. Step 6: Final answer
    x = 301.42

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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.