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Finding the Fourth Proportional to 100.26, 150.28 and 76.16

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Solution

The fourth proportional to 100.26, 150.28 and 76.16 is: 114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.26 : 150.28 = 76.16 : x
  2. Step 2: Convert to fraction form
    100.26/150.28 = 76.16/x
  3. Step 3: Cross multiply
    100.26x = 150.28 × 76.16
  4. Step 4: Simplify right side
    100.26x = 11,444.57
  5. Step 5: Solve for x
    x = 11,444.57/100.26
  6. Step 6: Final answer
    x = 114.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.