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Finding the Fourth Proportional to 51.02, 76.54 and 28.19

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Solution

The fourth proportional to 51.02, 76.54 and 28.19 is: 42.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.02 : 76.54 = 28.19 : x
  2. Step 2: Convert to fraction form
    51.02/76.54 = 28.19/x
  3. Step 3: Cross multiply
    51.02x = 76.54 × 28.19
  4. Step 4: Simplify right side
    51.02x = 2,157.41
  5. Step 5: Solve for x
    x = 2,157.41/51.02
  6. Step 6: Final answer
    x = 42.29

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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.