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Finding the Fourth Proportional to 386.19, 578.31 and 264.09

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Solution

The fourth proportional to 386.19, 578.31 and 264.09 is: 395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.19 : 578.31 = 264.09 : x
  2. Step 2: Convert to fraction form
    386.19/578.31 = 264.09/x
  3. Step 3: Cross multiply
    386.19x = 578.31 × 264.09
  4. Step 4: Simplify right side
    386.19x = 152,725.89
  5. Step 5: Solve for x
    x = 152,725.89/386.19
  6. Step 6: Final answer
    x = 395.47

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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.