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Finding the Fourth Proportional to 109.60, 163.40 and 102.40

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Solution

The fourth proportional to 109.60, 163.40 and 102.40 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.60 : 163.40 = 102.40 : x
  2. Step 2: Convert to fraction form
    109.60/163.40 = 102.40/x
  3. Step 3: Cross multiply
    109.60x = 163.40 × 102.40
  4. Step 4: Simplify right side
    109.60x = 16,732.16
  5. Step 5: Solve for x
    x = 16,732.16/109.60
  6. Step 6: Final answer
    x = 152.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.