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Finding the Fourth Proportional to 318.58, 475.69 and 282.22

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Solution

The fourth proportional to 318.58, 475.69 and 282.22 is: 421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.58 : 475.69 = 282.22 : x
  2. Step 2: Convert to fraction form
    318.58/475.69 = 282.22/x
  3. Step 3: Cross multiply
    318.58x = 475.69 × 282.22
  4. Step 4: Simplify right side
    318.58x = 134,249.23
  5. Step 5: Solve for x
    x = 134,249.23/318.58
  6. Step 6: Final answer
    x = 421.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.