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Finding the Fourth Proportional to 452.08, 623.90 and 265.78

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Solution

The fourth proportional to 452.08, 623.90 and 265.78 is: 366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.08 : 623.90 = 265.78 : x
  2. Step 2: Convert to fraction form
    452.08/623.90 = 265.78/x
  3. Step 3: Cross multiply
    452.08x = 623.90 × 265.78
  4. Step 4: Simplify right side
    452.08x = 165,820.14
  5. Step 5: Solve for x
    x = 165,820.14/452.08
  6. Step 6: Final answer
    x = 366.79

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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.