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Finding the Fourth Proportional to 386.63, 578.59 and 240.29

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Solution

The fourth proportional to 386.63, 578.59 and 240.29 is: 359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.63 : 578.59 = 240.29 : x
  2. Step 2: Convert to fraction form
    386.63/578.59 = 240.29/x
  3. Step 3: Cross multiply
    386.63x = 578.59 × 240.29
  4. Step 4: Simplify right side
    386.63x = 139,029.39
  5. Step 5: Solve for x
    x = 139,029.39/386.63
  6. Step 6: Final answer
    x = 359.59

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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.