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Finding the Fourth Proportional to 318.24, 475.02 and 282.24

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Solution

The fourth proportional to 318.24, 475.02 and 282.24 is: 421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.24 : 475.02 = 282.24 : x
  2. Step 2: Convert to fraction form
    318.24/475.02 = 282.24/x
  3. Step 3: Cross multiply
    318.24x = 475.02 × 282.24
  4. Step 4: Simplify right side
    318.24x = 134,069.64
  5. Step 5: Solve for x
    x = 134,069.64/318.24
  6. Step 6: Final answer
    x = 421.28

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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.