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Finding the Fourth Proportional to 19.78, 29.50 and 19.47

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Solution

The fourth proportional to 19.78, 29.50 and 19.47 is: 29.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.78 : 29.50 = 19.47 : x
  2. Step 2: Convert to fraction form
    19.78/29.50 = 19.47/x
  3. Step 3: Cross multiply
    19.78x = 29.50 × 19.47
  4. Step 4: Simplify right side
    19.78x = 574.43
  5. Step 5: Solve for x
    x = 574.43/19.78
  6. Step 6: Final answer
    x = 29.04

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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.