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Finding the Fourth Proportional to 29.08, 39.78 and 28.96

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Solution

The fourth proportional to 29.08, 39.78 and 28.96 is: 39.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.08 : 39.78 = 28.96 : x
  2. Step 2: Convert to fraction form
    29.08/39.78 = 28.96/x
  3. Step 3: Cross multiply
    29.08x = 39.78 × 28.96
  4. Step 4: Simplify right side
    29.08x = 1,152.03
  5. Step 5: Solve for x
    x = 1,152.03/29.08
  6. Step 6: Final answer
    x = 39.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.