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Finding the Fourth Proportional to 76.40, 105.42 and 46.92

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Solution

The fourth proportional to 76.40, 105.42 and 46.92 is: 64.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.40 : 105.42 = 46.92 : x
  2. Step 2: Convert to fraction form
    76.40/105.42 = 46.92/x
  3. Step 3: Cross multiply
    76.40x = 105.42 × 46.92
  4. Step 4: Simplify right side
    76.40x = 4,946.31
  5. Step 5: Solve for x
    x = 4,946.31/76.40
  6. Step 6: Final answer
    x = 64.74

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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.