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Finding the Fourth Proportional to 184.19, 276.09 and 74.35

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Solution

The fourth proportional to 184.19, 276.09 and 74.35 is: 111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.19 : 276.09 = 74.35 : x
  2. Step 2: Convert to fraction form
    184.19/276.09 = 74.35/x
  3. Step 3: Cross multiply
    184.19x = 276.09 × 74.35
  4. Step 4: Simplify right side
    184.19x = 20,527.29
  5. Step 5: Solve for x
    x = 20,527.29/184.19
  6. Step 6: Final answer
    x = 111.45

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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.