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Finding the Fourth Proportional to 102.05, 140.33 and 90.41

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Solution

The fourth proportional to 102.05, 140.33 and 90.41 is: 124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.05 : 140.33 = 90.41 : x
  2. Step 2: Convert to fraction form
    102.05/140.33 = 90.41/x
  3. Step 3: Cross multiply
    102.05x = 140.33 × 90.41
  4. Step 4: Simplify right side
    102.05x = 12,687.24
  5. Step 5: Solve for x
    x = 12,687.24/102.05
  6. Step 6: Final answer
    x = 124.32

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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.