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Finding the Fourth Proportional to 544.77, 816.80 and 232.25

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Solution

The fourth proportional to 544.77, 816.80 and 232.25 is: 348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.77 : 816.80 = 232.25 : x
  2. Step 2: Convert to fraction form
    544.77/816.80 = 232.25/x
  3. Step 3: Cross multiply
    544.77x = 816.80 × 232.25
  4. Step 4: Simplify right side
    544.77x = 189,701.80
  5. Step 5: Solve for x
    x = 189,701.80/544.77
  6. Step 6: Final answer
    x = 348.22

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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.