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Finding the Fourth Proportional to 544.04, 816.36 and 231.66

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Solution

The fourth proportional to 544.04, 816.36 and 231.66 is: 347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.04 : 816.36 = 231.66 : x
  2. Step 2: Convert to fraction form
    544.04/816.36 = 231.66/x
  3. Step 3: Cross multiply
    544.04x = 816.36 × 231.66
  4. Step 4: Simplify right side
    544.04x = 189,117.96
  5. Step 5: Solve for x
    x = 189,117.96/544.04
  6. Step 6: Final answer
    x = 347.62

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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.