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Finding the Fourth Proportional to 32.99, 49.64 and 28.44

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Solution

The fourth proportional to 32.99, 49.64 and 28.44 is: 42.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.99 : 49.64 = 28.44 : x
  2. Step 2: Convert to fraction form
    32.99/49.64 = 28.44/x
  3. Step 3: Cross multiply
    32.99x = 49.64 × 28.44
  4. Step 4: Simplify right side
    32.99x = 1,411.62
  5. Step 5: Solve for x
    x = 1,411.62/32.99
  6. Step 6: Final answer
    x = 42.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.