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Finding the Fourth Proportional to 261.24, 393.54 and 254.76

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Solution

The fourth proportional to 261.24, 393.54 and 254.76 is: 383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.24 : 393.54 = 254.76 : x
  2. Step 2: Convert to fraction form
    261.24/393.54 = 254.76/x
  3. Step 3: Cross multiply
    261.24x = 393.54 × 254.76
  4. Step 4: Simplify right side
    261.24x = 100,258.25
  5. Step 5: Solve for x
    x = 100,258.25/261.24
  6. Step 6: Final answer
    x = 383.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.