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Finding the Fourth Proportional to 208.90, 313.75 and 189.86

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Solution

The fourth proportional to 208.90, 313.75 and 189.86 is: 285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.90 : 313.75 = 189.86 : x
  2. Step 2: Convert to fraction form
    208.90/313.75 = 189.86/x
  3. Step 3: Cross multiply
    208.90x = 313.75 × 189.86
  4. Step 4: Simplify right side
    208.90x = 59,568.58
  5. Step 5: Solve for x
    x = 59,568.58/208.90
  6. Step 6: Final answer
    x = 285.16

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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.