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Finding the Fourth Proportional to 101.10, 152.67 and 100.20

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Solution

The fourth proportional to 101.10, 152.67 and 100.20 is: 151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.10 : 152.67 = 100.20 : x
  2. Step 2: Convert to fraction form
    101.10/152.67 = 100.20/x
  3. Step 3: Cross multiply
    101.10x = 152.67 × 100.20
  4. Step 4: Simplify right side
    101.10x = 15,297.53
  5. Step 5: Solve for x
    x = 15,297.53/101.10
  6. Step 6: Final answer
    x = 151.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.