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Finding the Fourth Proportional to 900.25, 1,350.38 and 292.25

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Solution

The fourth proportional to 900.25, 1,350.38 and 292.25 is: 438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.25 : 1,350.38 = 292.25 : x
  2. Step 2: Convert to fraction form
    900.25/1,350.38 = 292.25/x
  3. Step 3: Cross multiply
    900.25x = 1,350.38 × 292.25
  4. Step 4: Simplify right side
    900.25x = 394,647.09
  5. Step 5: Solve for x
    x = 394,647.09/900.25
  6. Step 6: Final answer
    x = 438.38

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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.