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Finding the Fourth Proportional to 452.30, 624.31 and 305.15

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Solution

The fourth proportional to 452.30, 624.31 and 305.15 is: 421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.30 : 624.31 = 305.15 : x
  2. Step 2: Convert to fraction form
    452.30/624.31 = 305.15/x
  3. Step 3: Cross multiply
    452.30x = 624.31 × 305.15
  4. Step 4: Simplify right side
    452.30x = 190,504.31
  5. Step 5: Solve for x
    x = 190,504.31/452.30
  6. Step 6: Final answer
    x = 421.19

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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.