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Finding the Fourth Proportional to 28.53, 43.02 and 28.14

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Solution

The fourth proportional to 28.53, 43.02 and 28.14 is: 42.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.53 : 43.02 = 28.14 : x
  2. Step 2: Convert to fraction form
    28.53/43.02 = 28.14/x
  3. Step 3: Cross multiply
    28.53x = 43.02 × 28.14
  4. Step 4: Simplify right side
    28.53x = 1,210.58
  5. Step 5: Solve for x
    x = 1,210.58/28.53
  6. Step 6: Final answer
    x = 42.43

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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.