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Finding the Fourth Proportional to 145.06, 199.79 and 140.06

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Solution

The fourth proportional to 145.06, 199.79 and 140.06 is: 192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.06 : 199.79 = 140.06 : x
  2. Step 2: Convert to fraction form
    145.06/199.79 = 140.06/x
  3. Step 3: Cross multiply
    145.06x = 199.79 × 140.06
  4. Step 4: Simplify right side
    145.06x = 27,982.59
  5. Step 5: Solve for x
    x = 27,982.59/145.06
  6. Step 6: Final answer
    x = 192.90

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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.