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Finding the Fourth Proportional to 96.60, 145.56 and 92.64

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Solution

The fourth proportional to 96.60, 145.56 and 92.64 is: 139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.60 : 145.56 = 92.64 : x
  2. Step 2: Convert to fraction form
    96.60/145.56 = 92.64/x
  3. Step 3: Cross multiply
    96.60x = 145.56 × 92.64
  4. Step 4: Simplify right side
    96.60x = 13,484.68
  5. Step 5: Solve for x
    x = 13,484.68/96.60
  6. Step 6: Final answer
    x = 139.59

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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.