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Finding the Fourth Proportional to 145.56, 199.59 and 137.37

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Solution

The fourth proportional to 145.56, 199.59 and 137.37 is: 188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.56 : 199.59 = 137.37 : x
  2. Step 2: Convert to fraction form
    145.56/199.59 = 137.37/x
  3. Step 3: Cross multiply
    145.56x = 199.59 × 137.37
  4. Step 4: Simplify right side
    145.56x = 27,417.68
  5. Step 5: Solve for x
    x = 27,417.68/145.56
  6. Step 6: Final answer
    x = 188.36

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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.