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Finding the Fourth Proportional to 353.19, 489.44 and 346.71

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Solution

The fourth proportional to 353.19, 489.44 and 346.71 is: 480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.19 : 489.44 = 346.71 : x
  2. Step 2: Convert to fraction form
    353.19/489.44 = 346.71/x
  3. Step 3: Cross multiply
    353.19x = 489.44 × 346.71
  4. Step 4: Simplify right side
    353.19x = 169,694.61
  5. Step 5: Solve for x
    x = 169,694.61/353.19
  6. Step 6: Final answer
    x = 480.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.