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Finding the Fourth Proportional to 421.92, 582.12 and 282.24

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Solution

The fourth proportional to 421.92, 582.12 and 282.24 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.92 : 582.12 = 282.24 : x
  2. Step 2: Convert to fraction form
    421.92/582.12 = 282.24/x
  3. Step 3: Cross multiply
    421.92x = 582.12 × 282.24
  4. Step 4: Simplify right side
    421.92x = 164,297.55
  5. Step 5: Solve for x
    x = 164,297.55/421.92
  6. Step 6: Final answer
    x = 389.40

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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.