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Finding the Fourth Proportional to 113.70, 155.98 and 106.72

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Solution

The fourth proportional to 113.70, 155.98 and 106.72 is: 146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.70 : 155.98 = 106.72 : x
  2. Step 2: Convert to fraction form
    113.70/155.98 = 106.72/x
  3. Step 3: Cross multiply
    113.70x = 155.98 × 106.72
  4. Step 4: Simplify right side
    113.70x = 16,645.41
  5. Step 5: Solve for x
    x = 16,645.41/113.70
  6. Step 6: Final answer
    x = 146.40

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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.