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Finding the Fourth Proportional to 489.12, 675.12 and 334.32

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Solution

The fourth proportional to 489.12, 675.12 and 334.32 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.12 : 675.12 = 334.32 : x
  2. Step 2: Convert to fraction form
    489.12/675.12 = 334.32/x
  3. Step 3: Cross multiply
    489.12x = 675.12 × 334.32
  4. Step 4: Simplify right side
    489.12x = 225,706.12
  5. Step 5: Solve for x
    x = 225,706.12/489.12
  6. Step 6: Final answer
    x = 461.45

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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.