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Finding the Fourth Proportional to 100.22, 151.23 and 96.47

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Solution

The fourth proportional to 100.22, 151.23 and 96.47 is: 145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.22 : 151.23 = 96.47 : x
  2. Step 2: Convert to fraction form
    100.22/151.23 = 96.47/x
  3. Step 3: Cross multiply
    100.22x = 151.23 × 96.47
  4. Step 4: Simplify right side
    100.22x = 14,588.68
  5. Step 5: Solve for x
    x = 14,588.68/100.22
  6. Step 6: Final answer
    x = 145.57

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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.