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Finding the Fourth Proportional to 116.34, 173.61 and 102.67

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Solution

The fourth proportional to 116.34, 173.61 and 102.67 is: 153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.34 : 173.61 = 102.67 : x
  2. Step 2: Convert to fraction form
    116.34/173.61 = 102.67/x
  3. Step 3: Cross multiply
    116.34x = 173.61 × 102.67
  4. Step 4: Simplify right side
    116.34x = 17,824.10
  5. Step 5: Solve for x
    x = 17,824.10/116.34
  6. Step 6: Final answer
    x = 153.21

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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.