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Finding the Fourth Proportional to 257.68, 353.13 and 233.08

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Solution

The fourth proportional to 257.68, 353.13 and 233.08 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.68 : 353.13 = 233.08 : x
  2. Step 2: Convert to fraction form
    257.68/353.13 = 233.08/x
  3. Step 3: Cross multiply
    257.68x = 353.13 × 233.08
  4. Step 4: Simplify right side
    257.68x = 82,307.54
  5. Step 5: Solve for x
    x = 82,307.54/257.68
  6. Step 6: Final answer
    x = 319.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.