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Finding the Fourth Proportional to 257.44, 386.61 and 233.14

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Solution

The fourth proportional to 257.44, 386.61 and 233.14 is: 350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.44 : 386.61 = 233.14 : x
  2. Step 2: Convert to fraction form
    257.44/386.61 = 233.14/x
  3. Step 3: Cross multiply
    257.44x = 386.61 × 233.14
  4. Step 4: Simplify right side
    257.44x = 90,133.29
  5. Step 5: Solve for x
    x = 90,133.29/257.44
  6. Step 6: Final answer
    x = 350.12

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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.