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Finding the Fourth Proportional to 138, 190.20 and 101.16

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Solution

The fourth proportional to 138, 190.20 and 101.16 is: 139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 190.20 = 101.16 : x
  2. Step 2: Convert to fraction form
    138/190.20 = 101.16/x
  3. Step 3: Cross multiply
    138x = 190.20 × 101.16
  4. Step 4: Simplify right side
    138x = 19,240.63
  5. Step 5: Solve for x
    x = 19,240.63/138
  6. Step 6: Final answer
    x = 139.42

Related Problems

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Double scale
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1.5x scale

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.