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Finding the Fourth Proportional to 145.78, 200.86 and 137.94

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Solution

The fourth proportional to 145.78, 200.86 and 137.94 is: 190.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.78 : 200.86 = 137.94 : x
  2. Step 2: Convert to fraction form
    145.78/200.86 = 137.94/x
  3. Step 3: Cross multiply
    145.78x = 200.86 × 137.94
  4. Step 4: Simplify right side
    145.78x = 27,706.63
  5. Step 5: Solve for x
    x = 27,706.63/145.78
  6. Step 6: Final answer
    x = 190.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.