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Finding the Fourth Proportional to 556.96, 835.44 and 268.44

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Solution

The fourth proportional to 556.96, 835.44 and 268.44 is: 402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.96 : 835.44 = 268.44 : x
  2. Step 2: Convert to fraction form
    556.96/835.44 = 268.44/x
  3. Step 3: Cross multiply
    556.96x = 835.44 × 268.44
  4. Step 4: Simplify right side
    556.96x = 224,265.51
  5. Step 5: Solve for x
    x = 224,265.51/556.96
  6. Step 6: Final answer
    x = 402.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.