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Finding the Fourth Proportional to 30.72, 46.02 and 20

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Solution

The fourth proportional to 30.72, 46.02 and 20 is: 29.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.72 : 46.02 = 20 : x
  2. Step 2: Convert to fraction form
    30.72/46.02 = 20/x
  3. Step 3: Cross multiply
    30.72x = 46.02 × 20
  4. Step 4: Simplify right side
    30.72x = 920.40
  5. Step 5: Solve for x
    x = 920.40/30.72
  6. Step 6: Final answer
    x = 29.96

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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.