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Finding the Fourth Proportional to 274.94, 379.42 and 156.91

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Solution

The fourth proportional to 274.94, 379.42 and 156.91 is: 216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.94 : 379.42 = 156.91 : x
  2. Step 2: Convert to fraction form
    274.94/379.42 = 156.91/x
  3. Step 3: Cross multiply
    274.94x = 379.42 × 156.91
  4. Step 4: Simplify right side
    274.94x = 59,534.79
  5. Step 5: Solve for x
    x = 59,534.79/274.94
  6. Step 6: Final answer
    x = 216.54

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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.