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Finding the Fourth Proportional to 389.84, 582.49 and 295.41

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Solution

The fourth proportional to 389.84, 582.49 and 295.41 is: 441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.84 : 582.49 = 295.41 : x
  2. Step 2: Convert to fraction form
    389.84/582.49 = 295.41/x
  3. Step 3: Cross multiply
    389.84x = 582.49 × 295.41
  4. Step 4: Simplify right side
    389.84x = 172,070.46
  5. Step 5: Solve for x
    x = 172,070.46/389.84
  6. Step 6: Final answer
    x = 441.39

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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.