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Finding the Fourth Proportional to 89.64, 122.90 and 88.02

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Solution

The fourth proportional to 89.64, 122.90 and 88.02 is: 120.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.64 : 122.90 = 88.02 : x
  2. Step 2: Convert to fraction form
    89.64/122.90 = 88.02/x
  3. Step 3: Cross multiply
    89.64x = 122.90 × 88.02
  4. Step 4: Simplify right side
    89.64x = 10,817.22
  5. Step 5: Solve for x
    x = 10,817.22/89.64
  6. Step 6: Final answer
    x = 120.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.