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Finding the Fourth Proportional to 274.08, 377.60 and 256.16

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Solution

The fourth proportional to 274.08, 377.60 and 256.16 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.08 : 377.60 = 256.16 : x
  2. Step 2: Convert to fraction form
    274.08/377.60 = 256.16/x
  3. Step 3: Cross multiply
    274.08x = 377.60 × 256.16
  4. Step 4: Simplify right side
    274.08x = 96,726.02
  5. Step 5: Solve for x
    x = 96,726.02/274.08
  6. Step 6: Final answer
    x = 352.91

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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.