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Finding the Fourth Proportional to 403.96, 556.86 and 316.48

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Solution

The fourth proportional to 403.96, 556.86 and 316.48 is: 436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.96 : 556.86 = 316.48 : x
  2. Step 2: Convert to fraction form
    403.96/556.86 = 316.48/x
  3. Step 3: Cross multiply
    403.96x = 556.86 × 316.48
  4. Step 4: Simplify right side
    403.96x = 176,235.05
  5. Step 5: Solve for x
    x = 176,235.05/403.96
  6. Step 6: Final answer
    x = 436.27

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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.