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Finding the Fourth Proportional to 598.85, 898.21 and 208.81

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Solution

The fourth proportional to 598.85, 898.21 and 208.81 is: 313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.85 : 898.21 = 208.81 : x
  2. Step 2: Convert to fraction form
    598.85/898.21 = 208.81/x
  3. Step 3: Cross multiply
    598.85x = 898.21 × 208.81
  4. Step 4: Simplify right side
    598.85x = 187,552.46
  5. Step 5: Solve for x
    x = 187,552.46/598.85
  6. Step 6: Final answer
    x = 313.19

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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.