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Finding the Fourth Proportional to 460.75, 636.38 and 305.23

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Solution

The fourth proportional to 460.75, 636.38 and 305.23 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.75 : 636.38 = 305.23 : x
  2. Step 2: Convert to fraction form
    460.75/636.38 = 305.23/x
  3. Step 3: Cross multiply
    460.75x = 636.38 × 305.23
  4. Step 4: Simplify right side
    460.75x = 194,242.27
  5. Step 5: Solve for x
    x = 194,242.27/460.75
  6. Step 6: Final answer
    x = 421.58

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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.