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Finding the Fourth Proportional to 208.98, 289.08 and 183.12

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Solution

The fourth proportional to 208.98, 289.08 and 183.12 is: 253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.98 : 289.08 = 183.12 : x
  2. Step 2: Convert to fraction form
    208.98/289.08 = 183.12/x
  3. Step 3: Cross multiply
    208.98x = 289.08 × 183.12
  4. Step 4: Simplify right side
    208.98x = 52,936.33
  5. Step 5: Solve for x
    x = 52,936.33/208.98
  6. Step 6: Final answer
    x = 253.31

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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.