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Finding the Fourth Proportional to 92.56, 128.40 and 88.10

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Solution

The fourth proportional to 92.56, 128.40 and 88.10 is: 122.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.56 : 128.40 = 88.10 : x
  2. Step 2: Convert to fraction form
    92.56/128.40 = 88.10/x
  3. Step 3: Cross multiply
    92.56x = 128.40 × 88.10
  4. Step 4: Simplify right side
    92.56x = 11,312.04
  5. Step 5: Solve for x
    x = 11,312.04/92.56
  6. Step 6: Final answer
    x = 122.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.