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Finding the Fourth Proportional to 353.56, 530.88 and 209.92

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Solution

The fourth proportional to 353.56, 530.88 and 209.92 is: 315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.56 : 530.88 = 209.92 : x
  2. Step 2: Convert to fraction form
    353.56/530.88 = 209.92/x
  3. Step 3: Cross multiply
    353.56x = 530.88 × 209.92
  4. Step 4: Simplify right side
    353.56x = 111,442.33
  5. Step 5: Solve for x
    x = 111,442.33/353.56
  6. Step 6: Final answer
    x = 315.20

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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.