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Finding the Fourth Proportional to 46.50, 69.57 and 28.35

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Solution

The fourth proportional to 46.50, 69.57 and 28.35 is: 42.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.50 : 69.57 = 28.35 : x
  2. Step 2: Convert to fraction form
    46.50/69.57 = 28.35/x
  3. Step 3: Cross multiply
    46.50x = 69.57 × 28.35
  4. Step 4: Simplify right side
    46.50x = 1,972.31
  5. Step 5: Solve for x
    x = 1,972.31/46.50
  6. Step 6: Final answer
    x = 42.42

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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.