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Finding the Fourth Proportional to 489.42, 675.39 and 268.38

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Solution

The fourth proportional to 489.42, 675.39 and 268.38 is: 370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.42 : 675.39 = 268.38 : x
  2. Step 2: Convert to fraction form
    489.42/675.39 = 268.38/x
  3. Step 3: Cross multiply
    489.42x = 675.39 × 268.38
  4. Step 4: Simplify right side
    489.42x = 181,261.17
  5. Step 5: Solve for x
    x = 181,261.17/489.42
  6. Step 6: Final answer
    x = 370.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.