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Finding the Fourth Proportional to 456.45, 685.35 and 353.85

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Solution

The fourth proportional to 456.45, 685.35 and 353.85 is: 531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.45 : 685.35 = 353.85 : x
  2. Step 2: Convert to fraction form
    456.45/685.35 = 353.85/x
  3. Step 3: Cross multiply
    456.45x = 685.35 × 353.85
  4. Step 4: Simplify right side
    456.45x = 242,511.10
  5. Step 5: Solve for x
    x = 242,511.10/456.45
  6. Step 6: Final answer
    x = 531.30

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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.