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Finding the Fourth Proportional to 274.34, 378.48 and 156.28

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Solution

The fourth proportional to 274.34, 378.48 and 156.28 is: 215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.34 : 378.48 = 156.28 : x
  2. Step 2: Convert to fraction form
    274.34/378.48 = 156.28/x
  3. Step 3: Cross multiply
    274.34x = 378.48 × 156.28
  4. Step 4: Simplify right side
    274.34x = 59,148.85
  5. Step 5: Solve for x
    x = 59,148.85/274.34
  6. Step 6: Final answer
    x = 215.60

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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.