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Finding the Fourth Proportional to 32.93, 45.38 and 28.28

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Solution

The fourth proportional to 32.93, 45.38 and 28.28 is: 38.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.93 : 45.38 = 28.28 : x
  2. Step 2: Convert to fraction form
    32.93/45.38 = 28.28/x
  3. Step 3: Cross multiply
    32.93x = 45.38 × 28.28
  4. Step 4: Simplify right side
    32.93x = 1,283.12
  5. Step 5: Solve for x
    x = 1,283.12/32.93
  6. Step 6: Final answer
    x = 38.97

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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.