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Finding the Fourth Proportional to 145.92, 199.98 and 140.88

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Solution

The fourth proportional to 145.92, 199.98 and 140.88 is: 193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.92 : 199.98 = 140.88 : x
  2. Step 2: Convert to fraction form
    145.92/199.98 = 140.88/x
  3. Step 3: Cross multiply
    145.92x = 199.98 × 140.88
  4. Step 4: Simplify right side
    145.92x = 28,173.18
  5. Step 5: Solve for x
    x = 28,173.18/145.92
  6. Step 6: Final answer
    x = 193.07

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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.