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Finding the Fourth Proportional to 489.69, 734.36 and 193.11

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Solution

The fourth proportional to 489.69, 734.36 and 193.11 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.69 : 734.36 = 193.11 : x
  2. Step 2: Convert to fraction form
    489.69/734.36 = 193.11/x
  3. Step 3: Cross multiply
    489.69x = 734.36 × 193.11
  4. Step 4: Simplify right side
    489.69x = 141,811.29
  5. Step 5: Solve for x
    x = 141,811.29/489.69
  6. Step 6: Final answer
    x = 289.59

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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.