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Finding the Fourth Proportional to 556.54, 835.18 and 268

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Solution

The fourth proportional to 556.54, 835.18 and 268 is: 402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.54 : 835.18 = 268 : x
  2. Step 2: Convert to fraction form
    556.54/835.18 = 268/x
  3. Step 3: Cross multiply
    556.54x = 835.18 × 268
  4. Step 4: Simplify right side
    556.54x = 223,828.24
  5. Step 5: Solve for x
    x = 223,828.24/556.54
  6. Step 6: Final answer
    x = 402.18

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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.