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Finding the Fourth Proportional to 270.68, 373.66 and 208.31

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Solution

The fourth proportional to 270.68, 373.66 and 208.31 is: 287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.68 : 373.66 = 208.31 : x
  2. Step 2: Convert to fraction form
    270.68/373.66 = 208.31/x
  3. Step 3: Cross multiply
    270.68x = 373.66 × 208.31
  4. Step 4: Simplify right side
    270.68x = 77,834.73
  5. Step 5: Solve for x
    x = 77,834.73/270.68
  6. Step 6: Final answer
    x = 287.56

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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.