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Finding the Fourth Proportional to 354.08, 530.85 and 225.56

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Solution

The fourth proportional to 354.08, 530.85 and 225.56 is: 338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.08 : 530.85 = 225.56 : x
  2. Step 2: Convert to fraction form
    354.08/530.85 = 225.56/x
  3. Step 3: Cross multiply
    354.08x = 530.85 × 225.56
  4. Step 4: Simplify right side
    354.08x = 119,740.70
  5. Step 5: Solve for x
    x = 119,740.70/354.08
  6. Step 6: Final answer
    x = 338.17

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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.