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Finding the Fourth Proportional to 386.12, 578.92 and 232.06

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Solution

The fourth proportional to 386.12, 578.92 and 232.06 is: 347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.12 : 578.92 = 232.06 : x
  2. Step 2: Convert to fraction form
    386.12/578.92 = 232.06/x
  3. Step 3: Cross multiply
    386.12x = 578.92 × 232.06
  4. Step 4: Simplify right side
    386.12x = 134,344.18
  5. Step 5: Solve for x
    x = 134,344.18/386.12
  6. Step 6: Final answer
    x = 347.93

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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.