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Finding the Fourth Proportional to 137.13, 206.07 and 116.63

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Solution

The fourth proportional to 137.13, 206.07 and 116.63 is: 175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.13 : 206.07 = 116.63 : x
  2. Step 2: Convert to fraction form
    137.13/206.07 = 116.63/x
  3. Step 3: Cross multiply
    137.13x = 206.07 × 116.63
  4. Step 4: Simplify right side
    137.13x = 24,032.91
  5. Step 5: Solve for x
    x = 24,032.91/137.13
  6. Step 6: Final answer
    x = 175.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.