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Finding the Fourth Proportional to 403.98, 557.52 and 256.74

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Solution

The fourth proportional to 403.98, 557.52 and 256.74 is: 354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.98 : 557.52 = 256.74 : x
  2. Step 2: Convert to fraction form
    403.98/557.52 = 256.74/x
  3. Step 3: Cross multiply
    403.98x = 557.52 × 256.74
  4. Step 4: Simplify right side
    403.98x = 143,137.68
  5. Step 5: Solve for x
    x = 143,137.68/403.98
  6. Step 6: Final answer
    x = 354.32

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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.