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Finding the Fourth Proportional to 96.33, 145.32 and 92.10

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Solution

The fourth proportional to 96.33, 145.32 and 92.10 is: 138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.33 : 145.32 = 92.10 : x
  2. Step 2: Convert to fraction form
    96.33/145.32 = 92.10/x
  3. Step 3: Cross multiply
    96.33x = 145.32 × 92.10
  4. Step 4: Simplify right side
    96.33x = 13,383.97
  5. Step 5: Solve for x
    x = 13,383.97/96.33
  6. Step 6: Final answer
    x = 138.94

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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.