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Finding the Fourth Proportional to 354.12, 529.98 and 217.26

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Solution

The fourth proportional to 354.12, 529.98 and 217.26 is: 325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.12 : 529.98 = 217.26 : x
  2. Step 2: Convert to fraction form
    354.12/529.98 = 217.26/x
  3. Step 3: Cross multiply
    354.12x = 529.98 × 217.26
  4. Step 4: Simplify right side
    354.12x = 115,142.64
  5. Step 5: Solve for x
    x = 115,142.64/354.12
  6. Step 6: Final answer
    x = 325.15

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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.