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Finding the Fourth Proportional to 51.21, 77.13 and 45.56

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Solution

The fourth proportional to 51.21, 77.13 and 45.56 is: 68.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.21 : 77.13 = 45.56 : x
  2. Step 2: Convert to fraction form
    51.21/77.13 = 45.56/x
  3. Step 3: Cross multiply
    51.21x = 77.13 × 45.56
  4. Step 4: Simplify right side
    51.21x = 3,514.04
  5. Step 5: Solve for x
    x = 3,514.04/51.21
  6. Step 6: Final answer
    x = 68.62

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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.