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Finding the Fourth Proportional to 403.54, 556.98 and 256.12

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Solution

The fourth proportional to 403.54, 556.98 and 256.12 is: 353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.54 : 556.98 = 256.12 : x
  2. Step 2: Convert to fraction form
    403.54/556.98 = 256.12/x
  3. Step 3: Cross multiply
    403.54x = 556.98 × 256.12
  4. Step 4: Simplify right side
    403.54x = 142,653.72
  5. Step 5: Solve for x
    x = 142,653.72/403.54
  6. Step 6: Final answer
    x = 353.51

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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.