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Finding the Fourth Proportional to 31.45, 46.89 and 28.60

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Solution

The fourth proportional to 31.45, 46.89 and 28.60 is: 42.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.45 : 46.89 = 28.60 : x
  2. Step 2: Convert to fraction form
    31.45/46.89 = 28.60/x
  3. Step 3: Cross multiply
    31.45x = 46.89 × 28.60
  4. Step 4: Simplify right side
    31.45x = 1,340.98
  5. Step 5: Solve for x
    x = 1,340.98/31.45
  6. Step 6: Final answer
    x = 42.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.