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Finding the Fourth Proportional to 314.82, 434.60 and 208.54

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Solution

The fourth proportional to 314.82, 434.60 and 208.54 is: 287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.82 : 434.60 = 208.54 : x
  2. Step 2: Convert to fraction form
    314.82/434.60 = 208.54/x
  3. Step 3: Cross multiply
    314.82x = 434.60 × 208.54
  4. Step 4: Simplify right side
    314.82x = 90,631.77
  5. Step 5: Solve for x
    x = 90,631.77/314.82
  6. Step 6: Final answer
    x = 287.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.