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Finding the Fourth Proportional to 360.62, 496.34 and 307.99

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Solution

The fourth proportional to 360.62, 496.34 and 307.99 is: 423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.62 : 496.34 = 307.99 : x
  2. Step 2: Convert to fraction form
    360.62/496.34 = 307.99/x
  3. Step 3: Cross multiply
    360.62x = 496.34 × 307.99
  4. Step 4: Simplify right side
    360.62x = 152,866.93
  5. Step 5: Solve for x
    x = 152,866.93/360.62
  6. Step 6: Final answer
    x = 423.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.