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Finding the Fourth Proportional to 250.67, 346.37 and 208.59

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Solution

The fourth proportional to 250.67, 346.37 and 208.59 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.67 : 346.37 = 208.59 : x
  2. Step 2: Convert to fraction form
    250.67/346.37 = 208.59/x
  3. Step 3: Cross multiply
    250.67x = 346.37 × 208.59
  4. Step 4: Simplify right side
    250.67x = 72,248.28
  5. Step 5: Solve for x
    x = 72,248.28/250.67
  6. Step 6: Final answer
    x = 288.23

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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.