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Finding the Fourth Proportional to 77.09, 115.55 and 51.47

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Solution

The fourth proportional to 77.09, 115.55 and 51.47 is: 77.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.09 : 115.55 = 51.47 : x
  2. Step 2: Convert to fraction form
    77.09/115.55 = 51.47/x
  3. Step 3: Cross multiply
    77.09x = 115.55 × 51.47
  4. Step 4: Simplify right side
    77.09x = 5,946.52
  5. Step 5: Solve for x
    x = 5,946.52/77.09
  6. Step 6: Final answer
    x = 77.14

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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.