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Finding the Fourth Proportional to 145.57, 199.94 and 136.54

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Solution

The fourth proportional to 145.57, 199.94 and 136.54 is: 187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.57 : 199.94 = 136.54 : x
  2. Step 2: Convert to fraction form
    145.57/199.94 = 136.54/x
  3. Step 3: Cross multiply
    145.57x = 199.94 × 136.54
  4. Step 4: Simplify right side
    145.57x = 27,299.40
  5. Step 5: Solve for x
    x = 27,299.40/145.57
  6. Step 6: Final answer
    x = 187.53

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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.