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Finding the Fourth Proportional to 354.36, 530.46 and 216.96

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Solution

The fourth proportional to 354.36, 530.46 and 216.96 is: 324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.36 : 530.46 = 216.96 : x
  2. Step 2: Convert to fraction form
    354.36/530.46 = 216.96/x
  3. Step 3: Cross multiply
    354.36x = 530.46 × 216.96
  4. Step 4: Simplify right side
    354.36x = 115,088.60
  5. Step 5: Solve for x
    x = 115,088.60/354.36
  6. Step 6: Final answer
    x = 324.78

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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.