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Finding the Fourth Proportional to 116.40, 174.81 and 102.72

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Solution

The fourth proportional to 116.40, 174.81 and 102.72 is: 154.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.40 : 174.81 = 102.72 : x
  2. Step 2: Convert to fraction form
    116.40/174.81 = 102.72/x
  3. Step 3: Cross multiply
    116.40x = 174.81 × 102.72
  4. Step 4: Simplify right side
    116.40x = 17,956.48
  5. Step 5: Solve for x
    x = 17,956.48/116.40
  6. Step 6: Final answer
    x = 154.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.