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Finding the Fourth Proportional to 353.34, 530.01 and 214.55

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Solution

The fourth proportional to 353.34, 530.01 and 214.55 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.34 : 530.01 = 214.55 : x
  2. Step 2: Convert to fraction form
    353.34/530.01 = 214.55/x
  3. Step 3: Cross multiply
    353.34x = 530.01 × 214.55
  4. Step 4: Simplify right side
    353.34x = 113,714.97
  5. Step 5: Solve for x
    x = 113,714.97/353.34
  6. Step 6: Final answer
    x = 321.83

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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.