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Finding the Fourth Proportional to 389.84, 584.35 and 281.57

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Solution

The fourth proportional to 389.84, 584.35 and 281.57 is: 422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.84 : 584.35 = 281.57 : x
  2. Step 2: Convert to fraction form
    389.84/584.35 = 281.57/x
  3. Step 3: Cross multiply
    389.84x = 584.35 × 281.57
  4. Step 4: Simplify right side
    389.84x = 164,535.43
  5. Step 5: Solve for x
    x = 164,535.43/389.84
  6. Step 6: Final answer
    x = 422.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.