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Finding the Fourth Proportional to 416.52, 624.12 and 307.80

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Solution

The fourth proportional to 416.52, 624.12 and 307.80 is: 461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.52 : 624.12 = 307.80 : x
  2. Step 2: Convert to fraction form
    416.52/624.12 = 307.80/x
  3. Step 3: Cross multiply
    416.52x = 624.12 × 307.80
  4. Step 4: Simplify right side
    416.52x = 192,104.14
  5. Step 5: Solve for x
    x = 192,104.14/416.52
  6. Step 6: Final answer
    x = 461.21

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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.