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Finding the Fourth Proportional to 452.08, 624.12 and 310.49

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Solution

The fourth proportional to 452.08, 624.12 and 310.49 is: 428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.08 : 624.12 = 310.49 : x
  2. Step 2: Convert to fraction form
    452.08/624.12 = 310.49/x
  3. Step 3: Cross multiply
    452.08x = 624.12 × 310.49
  4. Step 4: Simplify right side
    452.08x = 193,781.88
  5. Step 5: Solve for x
    x = 193,781.88/452.08
  6. Step 6: Final answer
    x = 428.65

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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.