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Finding the Fourth Proportional to 353.72, 530.28 and 216.77

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Solution

The fourth proportional to 353.72, 530.28 and 216.77 is: 324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.72 : 530.28 = 216.77 : x
  2. Step 2: Convert to fraction form
    353.72/530.28 = 216.77/x
  3. Step 3: Cross multiply
    353.72x = 530.28 × 216.77
  4. Step 4: Simplify right side
    353.72x = 114,946.14
  5. Step 5: Solve for x
    x = 114,946.14/353.72
  6. Step 6: Final answer
    x = 324.96

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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.