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Finding the Fourth Proportional to 272.57, 374.22 and 256.77

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Solution

The fourth proportional to 272.57, 374.22 and 256.77 is: 352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.57 : 374.22 = 256.77 : x
  2. Step 2: Convert to fraction form
    272.57/374.22 = 256.77/x
  3. Step 3: Cross multiply
    272.57x = 374.22 × 256.77
  4. Step 4: Simplify right side
    272.57x = 96,088.47
  5. Step 5: Solve for x
    x = 96,088.47/272.57
  6. Step 6: Final answer
    x = 352.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.