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Finding the Fourth Proportional to 184.12, 274.85 and 157.24

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Solution

The fourth proportional to 184.12, 274.85 and 157.24 is: 234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.12 : 274.85 = 157.24 : x
  2. Step 2: Convert to fraction form
    184.12/274.85 = 157.24/x
  3. Step 3: Cross multiply
    184.12x = 274.85 × 157.24
  4. Step 4: Simplify right side
    184.12x = 43,217.41
  5. Step 5: Solve for x
    x = 43,217.41/184.12
  6. Step 6: Final answer
    x = 234.72

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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.