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Finding the Fourth Proportional to 92.58, 128.03 and 84.42

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Solution

The fourth proportional to 92.58, 128.03 and 84.42 is: 116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.58 : 128.03 = 84.42 : x
  2. Step 2: Convert to fraction form
    92.58/128.03 = 84.42/x
  3. Step 3: Cross multiply
    92.58x = 128.03 × 84.42
  4. Step 4: Simplify right side
    92.58x = 10,807.87
  5. Step 5: Solve for x
    x = 10,807.87/92.58
  6. Step 6: Final answer
    x = 116.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.