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Finding the Fourth Proportional to 389.47, 537.15 and 284.44

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Solution

The fourth proportional to 389.47, 537.15 and 284.44 is: 392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.47 : 537.15 = 284.44 : x
  2. Step 2: Convert to fraction form
    389.47/537.15 = 284.44/x
  3. Step 3: Cross multiply
    389.47x = 537.15 × 284.44
  4. Step 4: Simplify right side
    389.47x = 152,786.95
  5. Step 5: Solve for x
    x = 152,786.95/389.47
  6. Step 6: Final answer
    x = 392.29

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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.