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Finding the Fourth Proportional to 34.96, 52.48 and 28.20

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Solution

The fourth proportional to 34.96, 52.48 and 28.20 is: 42.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.96 : 52.48 = 28.20 : x
  2. Step 2: Convert to fraction form
    34.96/52.48 = 28.20/x
  3. Step 3: Cross multiply
    34.96x = 52.48 × 28.20
  4. Step 4: Simplify right side
    34.96x = 1,479.94
  5. Step 5: Solve for x
    x = 1,479.94/34.96
  6. Step 6: Final answer
    x = 42.33

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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.