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Finding the Fourth Proportional to 353.40, 529.48 and 216.12

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Solution

The fourth proportional to 353.40, 529.48 and 216.12 is: 323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.40 : 529.48 = 216.12 : x
  2. Step 2: Convert to fraction form
    353.40/529.48 = 216.12/x
  3. Step 3: Cross multiply
    353.40x = 529.48 × 216.12
  4. Step 4: Simplify right side
    353.40x = 114,431.22
  5. Step 5: Solve for x
    x = 114,431.22/353.40
  6. Step 6: Final answer
    x = 323.80

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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.