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Finding the Fourth Proportional to 274.32, 378.57 and 149.98

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Solution

The fourth proportional to 274.32, 378.57 and 149.98 is: 206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.32 : 378.57 = 149.98 : x
  2. Step 2: Convert to fraction form
    274.32/378.57 = 149.98/x
  3. Step 3: Cross multiply
    274.32x = 378.57 × 149.98
  4. Step 4: Simplify right side
    274.32x = 56,777.19
  5. Step 5: Solve for x
    x = 56,777.19/274.32
  6. Step 6: Final answer
    x = 206.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.