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Finding the Fourth Proportional to 34.05, 47.25 and 32.58

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Solution

The fourth proportional to 34.05, 47.25 and 32.58 is: 45.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.05 : 47.25 = 32.58 : x
  2. Step 2: Convert to fraction form
    34.05/47.25 = 32.58/x
  3. Step 3: Cross multiply
    34.05x = 47.25 × 32.58
  4. Step 4: Simplify right side
    34.05x = 1,539.41
  5. Step 5: Solve for x
    x = 1,539.41/34.05
  6. Step 6: Final answer
    x = 45.21

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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.