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Finding the Fourth Proportional to 145.80, 201.02 and 102.20

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Solution

The fourth proportional to 145.80, 201.02 and 102.20 is: 140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 201.02 = 102.20 : x
  2. Step 2: Convert to fraction form
    145.80/201.02 = 102.20/x
  3. Step 3: Cross multiply
    145.80x = 201.02 × 102.20
  4. Step 4: Simplify right side
    145.80x = 20,542.73
  5. Step 5: Solve for x
    x = 20,542.73/145.80
  6. Step 6: Final answer
    x = 140.90

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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.