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Finding the Fourth Proportional to 77.51, 116.04 and 65.27

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Solution

The fourth proportional to 77.51, 116.04 and 65.27 is: 97.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.51 : 116.04 = 65.27 : x
  2. Step 2: Convert to fraction form
    77.51/116.04 = 65.27/x
  3. Step 3: Cross multiply
    77.51x = 116.04 × 65.27
  4. Step 4: Simplify right side
    77.51x = 7,573.93
  5. Step 5: Solve for x
    x = 7,573.93/77.51
  6. Step 6: Final answer
    x = 97.72

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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.