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Finding the Fourth Proportional to 489.84, 734.64 and 229.68

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Solution

The fourth proportional to 489.84, 734.64 and 229.68 is: 344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.84 : 734.64 = 229.68 : x
  2. Step 2: Convert to fraction form
    489.84/734.64 = 229.68/x
  3. Step 3: Cross multiply
    489.84x = 734.64 × 229.68
  4. Step 4: Simplify right side
    489.84x = 168,732.12
  5. Step 5: Solve for x
    x = 168,732.12/489.84
  6. Step 6: Final answer
    x = 344.46

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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.