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Finding the Fourth Proportional to 403.90, 557.46 and 256.70

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Solution

The fourth proportional to 403.90, 557.46 and 256.70 is: 354.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.90 : 557.46 = 256.70 : x
  2. Step 2: Convert to fraction form
    403.90/557.46 = 256.70/x
  3. Step 3: Cross multiply
    403.90x = 557.46 × 256.70
  4. Step 4: Simplify right side
    403.90x = 143,099.98
  5. Step 5: Solve for x
    x = 143,099.98/403.90
  6. Step 6: Final answer
    x = 354.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.