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Finding the Fourth Proportional to 30.32, 42.06 and 28.30

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Solution

The fourth proportional to 30.32, 42.06 and 28.30 is: 39.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.32 : 42.06 = 28.30 : x
  2. Step 2: Convert to fraction form
    30.32/42.06 = 28.30/x
  3. Step 3: Cross multiply
    30.32x = 42.06 × 28.30
  4. Step 4: Simplify right side
    30.32x = 1,190.30
  5. Step 5: Solve for x
    x = 1,190.30/30.32
  6. Step 6: Final answer
    x = 39.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.