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Finding the Fourth Proportional to 598.86, 898.07 and 208.78

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Solution

The fourth proportional to 598.86, 898.07 and 208.78 is: 313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.86 : 898.07 = 208.78 : x
  2. Step 2: Convert to fraction form
    598.86/898.07 = 208.78/x
  3. Step 3: Cross multiply
    598.86x = 898.07 × 208.78
  4. Step 4: Simplify right side
    598.86x = 187,495.77
  5. Step 5: Solve for x
    x = 187,495.77/598.86
  6. Step 6: Final answer
    x = 313.09

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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.