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Finding the Fourth Proportional to 389.69, 537.97 and 284.66

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Solution

The fourth proportional to 389.69, 537.97 and 284.66 is: 392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.69 : 537.97 = 284.66 : x
  2. Step 2: Convert to fraction form
    389.69/537.97 = 284.66/x
  3. Step 3: Cross multiply
    389.69x = 537.97 × 284.66
  4. Step 4: Simplify right side
    389.69x = 153,135.14
  5. Step 5: Solve for x
    x = 153,135.14/389.69
  6. Step 6: Final answer
    x = 392.97

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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.