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Finding the Fourth Proportional to 403.76, 557.09 and 256.58

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Solution

The fourth proportional to 403.76, 557.09 and 256.58 is: 354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.76 : 557.09 = 256.58 : x
  2. Step 2: Convert to fraction form
    403.76/557.09 = 256.58/x
  3. Step 3: Cross multiply
    403.76x = 557.09 × 256.58
  4. Step 4: Simplify right side
    403.76x = 142,936.01
  5. Step 5: Solve for x
    x = 142,936.01/403.76
  6. Step 6: Final answer
    x = 354.02

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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.