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Finding the Fourth Proportional to 32.33, 48.16 and 30.62

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Solution

The fourth proportional to 32.33, 48.16 and 30.62 is: 45.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.33 : 48.16 = 30.62 : x
  2. Step 2: Convert to fraction form
    32.33/48.16 = 30.62/x
  3. Step 3: Cross multiply
    32.33x = 48.16 × 30.62
  4. Step 4: Simplify right side
    32.33x = 1,474.66
  5. Step 5: Solve for x
    x = 1,474.66/32.33
  6. Step 6: Final answer
    x = 45.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.