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Finding the Fourth Proportional to 354.56, 489.30 and 214.70

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Solution

The fourth proportional to 354.56, 489.30 and 214.70 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.56 : 489.30 = 214.70 : x
  2. Step 2: Convert to fraction form
    354.56/489.30 = 214.70/x
  3. Step 3: Cross multiply
    354.56x = 489.30 × 214.70
  4. Step 4: Simplify right side
    354.56x = 105,053.02
  5. Step 5: Solve for x
    x = 105,053.02/354.56
  6. Step 6: Final answer
    x = 296.29

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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.