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Finding the Fourth Proportional to 208.94, 288.76 and 180.32

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Solution

The fourth proportional to 208.94, 288.76 and 180.32 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.94 : 288.76 = 180.32 : x
  2. Step 2: Convert to fraction form
    208.94/288.76 = 180.32/x
  3. Step 3: Cross multiply
    208.94x = 288.76 × 180.32
  4. Step 4: Simplify right side
    208.94x = 52,069.20
  5. Step 5: Solve for x
    x = 52,069.20/208.94
  6. Step 6: Final answer
    x = 249.21

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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.