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Finding the Fourth Proportional to 51.67, 71.22 and 45.19

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Solution

The fourth proportional to 51.67, 71.22 and 45.19 is: 62.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.67 : 71.22 = 45.19 : x
  2. Step 2: Convert to fraction form
    51.67/71.22 = 45.19/x
  3. Step 3: Cross multiply
    51.67x = 71.22 × 45.19
  4. Step 4: Simplify right side
    51.67x = 3,218.43
  5. Step 5: Solve for x
    x = 3,218.43/51.67
  6. Step 6: Final answer
    x = 62.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.