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Finding the Fourth Proportional to 32.93, 45.43 and 20.65

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Solution

The fourth proportional to 32.93, 45.43 and 20.65 is: 28.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.93 : 45.43 = 20.65 : x
  2. Step 2: Convert to fraction form
    32.93/45.43 = 20.65/x
  3. Step 3: Cross multiply
    32.93x = 45.43 × 20.65
  4. Step 4: Simplify right side
    32.93x = 938.13
  5. Step 5: Solve for x
    x = 938.13/32.93
  6. Step 6: Final answer
    x = 28.49

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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.