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Finding the Fourth Proportional to 30.50, 41.79 and 30.23

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Solution

The fourth proportional to 30.50, 41.79 and 30.23 is: 41.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.50 : 41.79 = 30.23 : x
  2. Step 2: Convert to fraction form
    30.50/41.79 = 30.23/x
  3. Step 3: Cross multiply
    30.50x = 41.79 × 30.23
  4. Step 4: Simplify right side
    30.50x = 1,263.31
  5. Step 5: Solve for x
    x = 1,263.31/30.50
  6. Step 6: Final answer
    x = 41.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.