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Finding the Fourth Proportional to 353.57, 530.85 and 280.49

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Solution

The fourth proportional to 353.57, 530.85 and 280.49 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.57 : 530.85 = 280.49 : x
  2. Step 2: Convert to fraction form
    353.57/530.85 = 280.49/x
  3. Step 3: Cross multiply
    353.57x = 530.85 × 280.49
  4. Step 4: Simplify right side
    353.57x = 148,898.12
  5. Step 5: Solve for x
    x = 148,898.12/353.57
  6. Step 6: Final answer
    x = 421.13

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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.