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Finding the Fourth Proportional to 34.20, 46.85 and 32.90

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Solution

The fourth proportional to 34.20, 46.85 and 32.90 is: 45.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.20 : 46.85 = 32.90 : x
  2. Step 2: Convert to fraction form
    34.20/46.85 = 32.90/x
  3. Step 3: Cross multiply
    34.20x = 46.85 × 32.90
  4. Step 4: Simplify right side
    34.20x = 1,541.34
  5. Step 5: Solve for x
    x = 1,541.34/34.20
  6. Step 6: Final answer
    x = 45.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.