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Finding the Fourth Proportional to 208.95, 289.08 and 183.15

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Solution

The fourth proportional to 208.95, 289.08 and 183.15 is: 253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.95 : 289.08 = 183.15 : x
  2. Step 2: Convert to fraction form
    208.95/289.08 = 183.15/x
  3. Step 3: Cross multiply
    208.95x = 289.08 × 183.15
  4. Step 4: Simplify right side
    208.95x = 52,945.00
  5. Step 5: Solve for x
    x = 52,945.00/208.95
  6. Step 6: Final answer
    x = 253.39

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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.