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Finding the Fourth Proportional to 140.19, 190.95 and 139.74

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Solution

The fourth proportional to 140.19, 190.95 and 139.74 is: 190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.19 : 190.95 = 139.74 : x
  2. Step 2: Convert to fraction form
    140.19/190.95 = 139.74/x
  3. Step 3: Cross multiply
    140.19x = 190.95 × 139.74
  4. Step 4: Simplify right side
    140.19x = 26,683.35
  5. Step 5: Solve for x
    x = 26,683.35/140.19
  6. Step 6: Final answer
    x = 190.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.