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Finding the Fourth Proportional to 28.34, 42.47 and 19.77

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Solution

The fourth proportional to 28.34, 42.47 and 19.77 is: 29.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 42.47 = 19.77 : x
  2. Step 2: Convert to fraction form
    28.34/42.47 = 19.77/x
  3. Step 3: Cross multiply
    28.34x = 42.47 × 19.77
  4. Step 4: Simplify right side
    28.34x = 839.45
  5. Step 5: Solve for x
    x = 839.45/28.34
  6. Step 6: Final answer
    x = 29.62

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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.