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Finding the Fourth Proportional to 598.96, 898.56 and 214.18

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Solution

The fourth proportional to 598.96, 898.56 and 214.18 is: 321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.96 : 898.56 = 214.18 : x
  2. Step 2: Convert to fraction form
    598.96/898.56 = 214.18/x
  3. Step 3: Cross multiply
    598.96x = 898.56 × 214.18
  4. Step 4: Simplify right side
    598.96x = 192,453.58
  5. Step 5: Solve for x
    x = 192,453.58/598.96
  6. Step 6: Final answer
    x = 321.31

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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.