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Finding the Fourth Proportional to 452.99, 625.32 and 305.67

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Solution

The fourth proportional to 452.99, 625.32 and 305.67 is: 421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.99 : 625.32 = 305.67 : x
  2. Step 2: Convert to fraction form
    452.99/625.32 = 305.67/x
  3. Step 3: Cross multiply
    452.99x = 625.32 × 305.67
  4. Step 4: Simplify right side
    452.99x = 191,143.91
  5. Step 5: Solve for x
    x = 191,143.91/452.99
  6. Step 6: Final answer
    x = 421.96

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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.