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Finding the Fourth Proportional to 257.33, 385.25 and 166.07

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Solution

The fourth proportional to 257.33, 385.25 and 166.07 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.33 : 385.25 = 166.07 : x
  2. Step 2: Convert to fraction form
    257.33/385.25 = 166.07/x
  3. Step 3: Cross multiply
    257.33x = 385.25 × 166.07
  4. Step 4: Simplify right side
    257.33x = 63,975.71
  5. Step 5: Solve for x
    x = 63,975.71/257.33
  6. Step 6: Final answer
    x = 248.62

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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.