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Finding the Fourth Proportional to 254.76, 350.82 and 213.24

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Solution

The fourth proportional to 254.76, 350.82 and 213.24 is: 293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.76 : 350.82 = 213.24 : x
  2. Step 2: Convert to fraction form
    254.76/350.82 = 213.24/x
  3. Step 3: Cross multiply
    254.76x = 350.82 × 213.24
  4. Step 4: Simplify right side
    254.76x = 74,808.86
  5. Step 5: Solve for x
    x = 74,808.86/254.76
  6. Step 6: Final answer
    x = 293.64

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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.