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Finding the Fourth Proportional to 554.40, 765.12 and 321.60

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Solution

The fourth proportional to 554.40, 765.12 and 321.60 is: 443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.40 : 765.12 = 321.60 : x
  2. Step 2: Convert to fraction form
    554.40/765.12 = 321.60/x
  3. Step 3: Cross multiply
    554.40x = 765.12 × 321.60
  4. Step 4: Simplify right side
    554.40x = 246,062.59
  5. Step 5: Solve for x
    x = 246,062.59/554.40
  6. Step 6: Final answer
    x = 443.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.