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Finding the Fourth Proportional to 353.90, 530.85 and 285.09

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Solution

The fourth proportional to 353.90, 530.85 and 285.09 is: 427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.90 : 530.85 = 285.09 : x
  2. Step 2: Convert to fraction form
    353.90/530.85 = 285.09/x
  3. Step 3: Cross multiply
    353.90x = 530.85 × 285.09
  4. Step 4: Simplify right side
    353.90x = 151,339.10
  5. Step 5: Solve for x
    x = 151,339.10/353.90
  6. Step 6: Final answer
    x = 427.63

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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.