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Finding the Fourth Proportional to 101.04, 138.60 and 100.13

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Solution

The fourth proportional to 101.04, 138.60 and 100.13 is: 137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.04 : 138.60 = 100.13 : x
  2. Step 2: Convert to fraction form
    101.04/138.60 = 100.13/x
  3. Step 3: Cross multiply
    101.04x = 138.60 × 100.13
  4. Step 4: Simplify right side
    101.04x = 13,878.02
  5. Step 5: Solve for x
    x = 13,878.02/101.04
  6. Step 6: Final answer
    x = 137.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.