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Finding the Fourth Proportional to 613.20, 920.20 and 353.20

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Solution

The fourth proportional to 613.20, 920.20 and 353.20 is: 530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.20 : 920.20 = 353.20 : x
  2. Step 2: Convert to fraction form
    613.20/920.20 = 353.20/x
  3. Step 3: Cross multiply
    613.20x = 920.20 × 353.20
  4. Step 4: Simplify right side
    613.20x = 325,014.64
  5. Step 5: Solve for x
    x = 325,014.64/613.20
  6. Step 6: Final answer
    x = 530.03

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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.