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Finding the Fourth Proportional to 290.22, 434.79 and 208.86

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Solution

The fourth proportional to 290.22, 434.79 and 208.86 is: 312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.22 : 434.79 = 208.86 : x
  2. Step 2: Convert to fraction form
    290.22/434.79 = 208.86/x
  3. Step 3: Cross multiply
    290.22x = 434.79 × 208.86
  4. Step 4: Simplify right side
    290.22x = 90,810.24
  5. Step 5: Solve for x
    x = 90,810.24/290.22
  6. Step 6: Final answer
    x = 312.90

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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.