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Finding the Fourth Proportional to 30.63, 42.27 and 17.70

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Solution

The fourth proportional to 30.63, 42.27 and 17.70 is: 24.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.63 : 42.27 = 17.70 : x
  2. Step 2: Convert to fraction form
    30.63/42.27 = 17.70/x
  3. Step 3: Cross multiply
    30.63x = 42.27 × 17.70
  4. Step 4: Simplify right side
    30.63x = 748.18
  5. Step 5: Solve for x
    x = 748.18/30.63
  6. Step 6: Final answer
    x = 24.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.