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Finding the Fourth Proportional to 145.92, 202.20 and 142.56

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Solution

The fourth proportional to 145.92, 202.20 and 142.56 is: 197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.92 : 202.20 = 142.56 : x
  2. Step 2: Convert to fraction form
    145.92/202.20 = 142.56/x
  3. Step 3: Cross multiply
    145.92x = 202.20 × 142.56
  4. Step 4: Simplify right side
    145.92x = 28,825.63
  5. Step 5: Solve for x
    x = 28,825.63/145.92
  6. Step 6: Final answer
    x = 197.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.