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Finding the Fourth Proportional to 145.60, 199.73 and 142.02

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Solution

The fourth proportional to 145.60, 199.73 and 142.02 is: 194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.60 : 199.73 = 142.02 : x
  2. Step 2: Convert to fraction form
    145.60/199.73 = 142.02/x
  3. Step 3: Cross multiply
    145.60x = 199.73 × 142.02
  4. Step 4: Simplify right side
    145.60x = 28,366.01
  5. Step 5: Solve for x
    x = 28,366.01/145.60
  6. Step 6: Final answer
    x = 194.82

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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.