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Finding the Fourth Proportional to 452.22, 623.66 and 286.14

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Solution

The fourth proportional to 452.22, 623.66 and 286.14 is: 394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.22 : 623.66 = 286.14 : x
  2. Step 2: Convert to fraction form
    452.22/623.66 = 286.14/x
  3. Step 3: Cross multiply
    452.22x = 623.66 × 286.14
  4. Step 4: Simplify right side
    452.22x = 178,452.64
  5. Step 5: Solve for x
    x = 178,452.64/452.22
  6. Step 6: Final answer
    x = 394.61

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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.