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Finding the Fourth Proportional to 403.67, 556.86 and 256.07

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Solution

The fourth proportional to 403.67, 556.86 and 256.07 is: 353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.67 : 556.86 = 256.07 : x
  2. Step 2: Convert to fraction form
    403.67/556.86 = 256.07/x
  3. Step 3: Cross multiply
    403.67x = 556.86 × 256.07
  4. Step 4: Simplify right side
    403.67x = 142,591.08
  5. Step 5: Solve for x
    x = 142,591.08/403.67
  6. Step 6: Final answer
    x = 353.24

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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.