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Finding the Fourth Proportional to 354.70, 489.40 and 214.78

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Solution

The fourth proportional to 354.70, 489.40 and 214.78 is: 296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.70 : 489.40 = 214.78 : x
  2. Step 2: Convert to fraction form
    354.70/489.40 = 214.78/x
  3. Step 3: Cross multiply
    354.70x = 489.40 × 214.78
  4. Step 4: Simplify right side
    354.70x = 105,113.33
  5. Step 5: Solve for x
    x = 105,113.33/354.70
  6. Step 6: Final answer
    x = 296.34

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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.