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Finding the Fourth Proportional to 475.64, 712.46 and 243.83

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Solution

The fourth proportional to 475.64, 712.46 and 243.83 is: 365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.64 : 712.46 = 243.83 : x
  2. Step 2: Convert to fraction form
    475.64/712.46 = 243.83/x
  3. Step 3: Cross multiply
    475.64x = 712.46 × 243.83
  4. Step 4: Simplify right side
    475.64x = 173,714.34
  5. Step 5: Solve for x
    x = 173,714.34/475.64
  6. Step 6: Final answer
    x = 365.22

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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.