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Finding the Fourth Proportional to 386.62, 578.64 and 294.79

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Solution

The fourth proportional to 386.62, 578.64 and 294.79 is: 441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.62 : 578.64 = 294.79 : x
  2. Step 2: Convert to fraction form
    386.62/578.64 = 294.79/x
  3. Step 3: Cross multiply
    386.62x = 578.64 × 294.79
  4. Step 4: Simplify right side
    386.62x = 170,578.03
  5. Step 5: Solve for x
    x = 170,578.03/386.62
  6. Step 6: Final answer
    x = 441.20

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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.