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Finding the Fourth Proportional to 544.83, 816.77 and 215.55

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Solution

The fourth proportional to 544.83, 816.77 and 215.55 is: 323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.83 : 816.77 = 215.55 : x
  2. Step 2: Convert to fraction form
    544.83/816.77 = 215.55/x
  3. Step 3: Cross multiply
    544.83x = 816.77 × 215.55
  4. Step 4: Simplify right side
    544.83x = 176,054.77
  5. Step 5: Solve for x
    x = 176,054.77/544.83
  6. Step 6: Final answer
    x = 323.14

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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.