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Finding the Fourth Proportional to 257.33, 387.78 and 233.03

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Solution

The fourth proportional to 257.33, 387.78 and 233.03 is: 351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.33 : 387.78 = 233.03 : x
  2. Step 2: Convert to fraction form
    257.33/387.78 = 233.03/x
  3. Step 3: Cross multiply
    257.33x = 387.78 × 233.03
  4. Step 4: Simplify right side
    257.33x = 90,365.34
  5. Step 5: Solve for x
    x = 90,365.34/257.33
  6. Step 6: Final answer
    x = 351.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.