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Finding the Fourth Proportional to 384.78, 579.22 and 263.78

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Solution

The fourth proportional to 384.78, 579.22 and 263.78 is: 397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.78 : 579.22 = 263.78 : x
  2. Step 2: Convert to fraction form
    384.78/579.22 = 263.78/x
  3. Step 3: Cross multiply
    384.78x = 579.22 × 263.78
  4. Step 4: Simplify right side
    384.78x = 152,786.65
  5. Step 5: Solve for x
    x = 152,786.65/384.78
  6. Step 6: Final answer
    x = 397.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.