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Finding the Fourth Proportional to 270.80, 373.88 and 208.52

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Solution

The fourth proportional to 270.80, 373.88 and 208.52 is: 287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.80 : 373.88 = 208.52 : x
  2. Step 2: Convert to fraction form
    270.80/373.88 = 208.52/x
  3. Step 3: Cross multiply
    270.80x = 373.88 × 208.52
  4. Step 4: Simplify right side
    270.80x = 77,958.55
  5. Step 5: Solve for x
    x = 77,958.55/270.80
  6. Step 6: Final answer
    x = 287.89

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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.