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Finding the Fourth Proportional to 354.08, 530.22 and 209.90

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Solution

The fourth proportional to 354.08, 530.22 and 209.90 is: 314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.08 : 530.22 = 209.90 : x
  2. Step 2: Convert to fraction form
    354.08/530.22 = 209.90/x
  3. Step 3: Cross multiply
    354.08x = 530.22 × 209.90
  4. Step 4: Simplify right side
    354.08x = 111,293.18
  5. Step 5: Solve for x
    x = 111,293.18/354.08
  6. Step 6: Final answer
    x = 314.32

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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.