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Finding the Fourth Proportional to 556.89, 835.26 and 232.21

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Solution

The fourth proportional to 556.89, 835.26 and 232.21 is: 348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.89 : 835.26 = 232.21 : x
  2. Step 2: Convert to fraction form
    556.89/835.26 = 232.21/x
  3. Step 3: Cross multiply
    556.89x = 835.26 × 232.21
  4. Step 4: Simplify right side
    556.89x = 193,955.72
  5. Step 5: Solve for x
    x = 193,955.72/556.89
  6. Step 6: Final answer
    x = 348.28

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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.