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Finding the Fourth Proportional to 51.08, 76.27 and 43.48

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Solution

The fourth proportional to 51.08, 76.27 and 43.48 is: 64.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.08 : 76.27 = 43.48 : x
  2. Step 2: Convert to fraction form
    51.08/76.27 = 43.48/x
  3. Step 3: Cross multiply
    51.08x = 76.27 × 43.48
  4. Step 4: Simplify right side
    51.08x = 3,316.22
  5. Step 5: Solve for x
    x = 3,316.22/51.08
  6. Step 6: Final answer
    x = 64.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.