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Finding the Fourth Proportional to 145.45, 219.25 and 137.09

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Solution

The fourth proportional to 145.45, 219.25 and 137.09 is: 206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.45 : 219.25 = 137.09 : x
  2. Step 2: Convert to fraction form
    145.45/219.25 = 137.09/x
  3. Step 3: Cross multiply
    145.45x = 219.25 × 137.09
  4. Step 4: Simplify right side
    145.45x = 30,055.20
  5. Step 5: Solve for x
    x = 30,055.20/145.45
  6. Step 6: Final answer
    x = 206.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.