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Finding the Fourth Proportional to 475.23, 712.20 and 243.63

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Solution

The fourth proportional to 475.23, 712.20 and 243.63 is: 365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.23 : 712.20 = 243.63 : x
  2. Step 2: Convert to fraction form
    475.23/712.20 = 243.63/x
  3. Step 3: Cross multiply
    475.23x = 712.20 × 243.63
  4. Step 4: Simplify right side
    475.23x = 173,513.29
  5. Step 5: Solve for x
    x = 173,513.29/475.23
  6. Step 6: Final answer
    x = 365.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.