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Finding the Fourth Proportional to 35.99, 54.18 and 32.80

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Solution

The fourth proportional to 35.99, 54.18 and 32.80 is: 49.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.99 : 54.18 = 32.80 : x
  2. Step 2: Convert to fraction form
    35.99/54.18 = 32.80/x
  3. Step 3: Cross multiply
    35.99x = 54.18 × 32.80
  4. Step 4: Simplify right side
    35.99x = 1,776.86
  5. Step 5: Solve for x
    x = 1,776.86/35.99
  6. Step 6: Final answer
    x = 49.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.