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Finding the Fourth Proportional to 77.64, 107.09 and 46.53

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Solution

The fourth proportional to 77.64, 107.09 and 46.53 is: 64.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.64 : 107.09 = 46.53 : x
  2. Step 2: Convert to fraction form
    77.64/107.09 = 46.53/x
  3. Step 3: Cross multiply
    77.64x = 107.09 × 46.53
  4. Step 4: Simplify right side
    77.64x = 4,982.84
  5. Step 5: Solve for x
    x = 4,982.84/77.64
  6. Step 6: Final answer
    x = 64.18

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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.