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Finding the Fourth Proportional to 30.21, 45.08 and 29.31

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Solution

The fourth proportional to 30.21, 45.08 and 29.31 is: 43.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.21 : 45.08 = 29.31 : x
  2. Step 2: Convert to fraction form
    30.21/45.08 = 29.31/x
  3. Step 3: Cross multiply
    30.21x = 45.08 × 29.31
  4. Step 4: Simplify right side
    30.21x = 1,321.15
  5. Step 5: Solve for x
    x = 1,321.15/30.21
  6. Step 6: Final answer
    x = 43.73

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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.