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Finding the Fourth Proportional to 100.95, 150.26 and 100.95

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Solution

The fourth proportional to 100.95, 150.26 and 100.95 is: 150.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.95 : 150.26 = 100.95 : x
  2. Step 2: Convert to fraction form
    100.95/150.26 = 100.95/x
  3. Step 3: Cross multiply
    100.95x = 150.26 × 100.95
  4. Step 4: Simplify right side
    100.95x = 15,167.68
  5. Step 5: Solve for x
    x = 15,167.68/100.95
  6. Step 6: Final answer
    x = 150.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.