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Finding the Fourth Proportional to 343.23, 513.77 and 256.05

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Solution

The fourth proportional to 343.23, 513.77 and 256.05 is: 383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.23 : 513.77 = 256.05 : x
  2. Step 2: Convert to fraction form
    343.23/513.77 = 256.05/x
  3. Step 3: Cross multiply
    343.23x = 513.77 × 256.05
  4. Step 4: Simplify right side
    343.23x = 131,549.53
  5. Step 5: Solve for x
    x = 131,549.53/343.23
  6. Step 6: Final answer
    x = 383.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.