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Finding the Fourth Proportional to 403.60, 556.96 and 248.26

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Solution

The fourth proportional to 403.60, 556.96 and 248.26 is: 342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.60 : 556.96 = 248.26 : x
  2. Step 2: Convert to fraction form
    403.60/556.96 = 248.26/x
  3. Step 3: Cross multiply
    403.60x = 556.96 × 248.26
  4. Step 4: Simplify right side
    403.60x = 138,270.89
  5. Step 5: Solve for x
    x = 138,270.89/403.60
  6. Step 6: Final answer
    x = 342.59

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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.