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Finding the Fourth Proportional to 137.02, 188.13 and 133.45

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Solution

The fourth proportional to 137.02, 188.13 and 133.45 is: 183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.02 : 188.13 = 133.45 : x
  2. Step 2: Convert to fraction form
    137.02/188.13 = 133.45/x
  3. Step 3: Cross multiply
    137.02x = 188.13 × 133.45
  4. Step 4: Simplify right side
    137.02x = 25,106.75
  5. Step 5: Solve for x
    x = 25,106.75/137.02
  6. Step 6: Final answer
    x = 183.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.