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Finding the Fourth Proportional to 354.25, 530.34 and 216.88

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Solution

The fourth proportional to 354.25, 530.34 and 216.88 is: 324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.25 : 530.34 = 216.88 : x
  2. Step 2: Convert to fraction form
    354.25/530.34 = 216.88/x
  3. Step 3: Cross multiply
    354.25x = 530.34 × 216.88
  4. Step 4: Simplify right side
    354.25x = 115,017.49
  5. Step 5: Solve for x
    x = 115,017.49/354.25
  6. Step 6: Final answer
    x = 324.68

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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.