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Finding the Fourth Proportional to 352.20, 525.60 and 311.16

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Solution

The fourth proportional to 352.20, 525.60 and 311.16 is: 464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.20 : 525.60 = 311.16 : x
  2. Step 2: Convert to fraction form
    352.20/525.60 = 311.16/x
  3. Step 3: Cross multiply
    352.20x = 525.60 × 311.16
  4. Step 4: Simplify right side
    352.20x = 163,545.70
  5. Step 5: Solve for x
    x = 163,545.70/352.20
  6. Step 6: Final answer
    x = 464.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.