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Finding the Fourth Proportional to 950.68, 1,425.90 and 257.38

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Solution

The fourth proportional to 950.68, 1,425.90 and 257.38 is: 386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.68 : 1,425.90 = 257.38 : x
  2. Step 2: Convert to fraction form
    950.68/1,425.90 = 257.38/x
  3. Step 3: Cross multiply
    950.68x = 1,425.90 × 257.38
  4. Step 4: Simplify right side
    950.68x = 366,998.14
  5. Step 5: Solve for x
    x = 366,998.14/950.68
  6. Step 6: Final answer
    x = 386.04

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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.