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Finding the Fourth Proportional to 32.32, 48.45 and 18.82

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Solution

The fourth proportional to 32.32, 48.45 and 18.82 is: 28.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.32 : 48.45 = 18.82 : x
  2. Step 2: Convert to fraction form
    32.32/48.45 = 18.82/x
  3. Step 3: Cross multiply
    32.32x = 48.45 × 18.82
  4. Step 4: Simplify right side
    32.32x = 911.83
  5. Step 5: Solve for x
    x = 911.83/32.32
  6. Step 6: Final answer
    x = 28.21

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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.