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Finding the Fourth Proportional to 145.20, 199.96 and 142.18

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Solution

The fourth proportional to 145.20, 199.96 and 142.18 is: 195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.20 : 199.96 = 142.18 : x
  2. Step 2: Convert to fraction form
    145.20/199.96 = 142.18/x
  3. Step 3: Cross multiply
    145.20x = 199.96 × 142.18
  4. Step 4: Simplify right side
    145.20x = 28,430.31
  5. Step 5: Solve for x
    x = 28,430.31/145.20
  6. Step 6: Final answer
    x = 195.80

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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.