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Finding the Fourth Proportional to 452.25, 624.11 and 245.25

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Solution

The fourth proportional to 452.25, 624.11 and 245.25 is: 338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.25 : 624.11 = 245.25 : x
  2. Step 2: Convert to fraction form
    452.25/624.11 = 245.25/x
  3. Step 3: Cross multiply
    452.25x = 624.11 × 245.25
  4. Step 4: Simplify right side
    452.25x = 153,061.75
  5. Step 5: Solve for x
    x = 153,061.75/452.25
  6. Step 6: Final answer
    x = 338.45

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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.