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Finding the Fourth Proportional to 354.60, 530.96 and 208.23

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Solution

The fourth proportional to 354.60, 530.96 and 208.23 is: 311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.60 : 530.96 = 208.23 : x
  2. Step 2: Convert to fraction form
    354.60/530.96 = 208.23/x
  3. Step 3: Cross multiply
    354.60x = 530.96 × 208.23
  4. Step 4: Simplify right side
    354.60x = 110,561.80
  5. Step 5: Solve for x
    x = 110,561.80/354.60
  6. Step 6: Final answer
    x = 311.79

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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.