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Finding the Fourth Proportional to 52.45, 78.28 and 46.37

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Solution

The fourth proportional to 52.45, 78.28 and 46.37 is: 69.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.45 : 78.28 = 46.37 : x
  2. Step 2: Convert to fraction form
    52.45/78.28 = 46.37/x
  3. Step 3: Cross multiply
    52.45x = 78.28 × 46.37
  4. Step 4: Simplify right side
    52.45x = 3,629.92
  5. Step 5: Solve for x
    x = 3,629.92/52.45
  6. Step 6: Final answer
    x = 69.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.