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Finding the Fourth Proportional to 390.84, 584.03 and 297.78

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Solution

The fourth proportional to 390.84, 584.03 and 297.78 is: 444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.84 : 584.03 = 297.78 : x
  2. Step 2: Convert to fraction form
    390.84/584.03 = 297.78/x
  3. Step 3: Cross multiply
    390.84x = 584.03 × 297.78
  4. Step 4: Simplify right side
    390.84x = 173,910.96
  5. Step 5: Solve for x
    x = 173,910.96/390.84
  6. Step 6: Final answer
    x = 444.97

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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.