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Finding the Fourth Proportional to 403.76, 557.08 and 256.32

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Solution

The fourth proportional to 403.76, 557.08 and 256.32 is: 353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.76 : 557.08 = 256.32 : x
  2. Step 2: Convert to fraction form
    403.76/557.08 = 256.32/x
  3. Step 3: Cross multiply
    403.76x = 557.08 × 256.32
  4. Step 4: Simplify right side
    403.76x = 142,790.75
  5. Step 5: Solve for x
    x = 142,790.75/403.76
  6. Step 6: Final answer
    x = 353.65

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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.