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Finding the Fourth Proportional to 208.99, 288.35 and 130.27

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Solution

The fourth proportional to 208.99, 288.35 and 130.27 is: 179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.99 : 288.35 = 130.27 : x
  2. Step 2: Convert to fraction form
    208.99/288.35 = 130.27/x
  3. Step 3: Cross multiply
    208.99x = 288.35 × 130.27
  4. Step 4: Simplify right side
    208.99x = 37,563.35
  5. Step 5: Solve for x
    x = 37,563.35/208.99
  6. Step 6: Final answer
    x = 179.74

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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.