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Finding the Fourth Proportional to 386.90, 578.80 and 250.06

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Solution

The fourth proportional to 386.90, 578.80 and 250.06 is: 374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.90 : 578.80 = 250.06 : x
  2. Step 2: Convert to fraction form
    386.90/578.80 = 250.06/x
  3. Step 3: Cross multiply
    386.90x = 578.80 × 250.06
  4. Step 4: Simplify right side
    386.90x = 144,734.90
  5. Step 5: Solve for x
    x = 144,734.90/386.90
  6. Step 6: Final answer
    x = 374.09

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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.