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Finding the Fourth Proportional to 386.04, 578.52 and 154.68

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Solution

The fourth proportional to 386.04, 578.52 and 154.68 is: 231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.04 : 578.52 = 154.68 : x
  2. Step 2: Convert to fraction form
    386.04/578.52 = 154.68/x
  3. Step 3: Cross multiply
    386.04x = 578.52 × 154.68
  4. Step 4: Simplify right side
    386.04x = 89,485.47
  5. Step 5: Solve for x
    x = 89,485.47/386.04
  6. Step 6: Final answer
    x = 231.80

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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.