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Finding the Fourth Proportional to 32.28, 44.54 and 18.46

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Solution

The fourth proportional to 32.28, 44.54 and 18.46 is: 25.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.28 : 44.54 = 18.46 : x
  2. Step 2: Convert to fraction form
    32.28/44.54 = 18.46/x
  3. Step 3: Cross multiply
    32.28x = 44.54 × 18.46
  4. Step 4: Simplify right side
    32.28x = 822.12
  5. Step 5: Solve for x
    x = 822.12/32.28
  6. Step 6: Final answer
    x = 25.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.