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Finding the Fourth Proportional to 52.56, 79.20 and 50.54

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Solution

The fourth proportional to 52.56, 79.20 and 50.54 is: 76.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.56 : 79.20 = 50.54 : x
  2. Step 2: Convert to fraction form
    52.56/79.20 = 50.54/x
  3. Step 3: Cross multiply
    52.56x = 79.20 × 50.54
  4. Step 4: Simplify right side
    52.56x = 4,002.37
  5. Step 5: Solve for x
    x = 4,002.37/52.56
  6. Step 6: Final answer
    x = 76.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.