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Finding the Fourth Proportional to 403.58, 557.31 and 256.49

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Solution

The fourth proportional to 403.58, 557.31 and 256.49 is: 354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.58 : 557.31 = 256.49 : x
  2. Step 2: Convert to fraction form
    403.58/557.31 = 256.49/x
  3. Step 3: Cross multiply
    403.58x = 557.31 × 256.49
  4. Step 4: Simplify right side
    403.58x = 142,944.44
  5. Step 5: Solve for x
    x = 142,944.44/403.58
  6. Step 6: Final answer
    x = 354.19

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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.