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Finding the Fourth Proportional to 439.70, 658.15 and 309.08

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Solution

The fourth proportional to 439.70, 658.15 and 309.08 is: 462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.70 : 658.15 = 309.08 : x
  2. Step 2: Convert to fraction form
    439.70/658.15 = 309.08/x
  3. Step 3: Cross multiply
    439.70x = 658.15 × 309.08
  4. Step 4: Simplify right side
    439.70x = 203,421.87
  5. Step 5: Solve for x
    x = 203,421.87/439.70
  6. Step 6: Final answer
    x = 462.64

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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.