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Finding the Fourth Proportional to 354.22, 530.30 and 199.42

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Solution

The fourth proportional to 354.22, 530.30 and 199.42 is: 298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.22 : 530.30 = 199.42 : x
  2. Step 2: Convert to fraction form
    354.22/530.30 = 199.42/x
  3. Step 3: Cross multiply
    354.22x = 530.30 × 199.42
  4. Step 4: Simplify right side
    354.22x = 105,751.60
  5. Step 5: Solve for x
    x = 105,751.60/354.22
  6. Step 6: Final answer
    x = 298.55

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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.