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Finding the Fourth Proportional to 452.25, 624.32 and 265.68

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Solution

The fourth proportional to 452.25, 624.32 and 265.68 is: 366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.25 : 624.32 = 265.68 : x
  2. Step 2: Convert to fraction form
    452.25/624.32 = 265.68/x
  3. Step 3: Cross multiply
    452.25x = 624.32 × 265.68
  4. Step 4: Simplify right side
    452.25x = 165,868.01
  5. Step 5: Solve for x
    x = 165,868.01/452.25
  6. Step 6: Final answer
    x = 366.76

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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.