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Finding the Fourth Proportional to 489.67, 675.71 and 268.61

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Solution

The fourth proportional to 489.67, 675.71 and 268.61 is: 370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.67 : 675.71 = 268.61 : x
  2. Step 2: Convert to fraction form
    489.67/675.71 = 268.61/x
  3. Step 3: Cross multiply
    489.67x = 675.71 × 268.61
  4. Step 4: Simplify right side
    489.67x = 181,503.48
  5. Step 5: Solve for x
    x = 181,503.48/489.67
  6. Step 6: Final answer
    x = 370.67

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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.