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Finding the Fourth Proportional to 19.78, 29.46 and 19.70

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Solution

The fourth proportional to 19.78, 29.46 and 19.70 is: 29.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.78 : 29.46 = 19.70 : x
  2. Step 2: Convert to fraction form
    19.78/29.46 = 19.70/x
  3. Step 3: Cross multiply
    19.78x = 29.46 × 19.70
  4. Step 4: Simplify right side
    19.78x = 580.36
  5. Step 5: Solve for x
    x = 580.36/19.78
  6. Step 6: Final answer
    x = 29.34

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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.