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Finding the Fourth Proportional to 19.46, 29.20 and 12.70

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Solution

The fourth proportional to 19.46, 29.20 and 12.70 is: 19.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.46 : 29.20 = 12.70 : x
  2. Step 2: Convert to fraction form
    19.46/29.20 = 12.70/x
  3. Step 3: Cross multiply
    19.46x = 29.20 × 12.70
  4. Step 4: Simplify right side
    19.46x = 370.84
  5. Step 5: Solve for x
    x = 370.84/19.46
  6. Step 6: Final answer
    x = 19.06

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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.