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Finding the Fourth Proportional to 32.57, 48.78 and 20.48

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Solution

The fourth proportional to 32.57, 48.78 and 20.48 is: 30.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.57 : 48.78 = 20.48 : x
  2. Step 2: Convert to fraction form
    32.57/48.78 = 20.48/x
  3. Step 3: Cross multiply
    32.57x = 48.78 × 20.48
  4. Step 4: Simplify right side
    32.57x = 999.14
  5. Step 5: Solve for x
    x = 999.14/32.57
  6. Step 6: Final answer
    x = 30.68

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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.