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Finding the Fourth Proportional to 52.56, 78.68 and 43.92

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Solution

The fourth proportional to 52.56, 78.68 and 43.92 is: 65.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.56 : 78.68 = 43.92 : x
  2. Step 2: Convert to fraction form
    52.56/78.68 = 43.92/x
  3. Step 3: Cross multiply
    52.56x = 78.68 × 43.92
  4. Step 4: Simplify right side
    52.56x = 3,455.63
  5. Step 5: Solve for x
    x = 3,455.63/52.56
  6. Step 6: Final answer
    x = 65.75

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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.