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Finding the Fourth Proportional to 31.13, 46.87 and 28.23

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Solution

The fourth proportional to 31.13, 46.87 and 28.23 is: 42.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.13 : 46.87 = 28.23 : x
  2. Step 2: Convert to fraction form
    31.13/46.87 = 28.23/x
  3. Step 3: Cross multiply
    31.13x = 46.87 × 28.23
  4. Step 4: Simplify right side
    31.13x = 1,323.14
  5. Step 5: Solve for x
    x = 1,323.14/31.13
  6. Step 6: Final answer
    x = 42.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.