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Finding the Fourth Proportional to 145.38, 199.75 and 139.02

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Solution

The fourth proportional to 145.38, 199.75 and 139.02 is: 191.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.38 : 199.75 = 139.02 : x
  2. Step 2: Convert to fraction form
    145.38/199.75 = 139.02/x
  3. Step 3: Cross multiply
    145.38x = 199.75 × 139.02
  4. Step 4: Simplify right side
    145.38x = 27,769.25
  5. Step 5: Solve for x
    x = 27,769.25/145.38
  6. Step 6: Final answer
    x = 191.01

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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.