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Finding the Fourth Proportional to 421.75, 582.25 and 282.32

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Solution

The fourth proportional to 421.75, 582.25 and 282.32 is: 389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.75 : 582.25 = 282.32 : x
  2. Step 2: Convert to fraction form
    421.75/582.25 = 282.32/x
  3. Step 3: Cross multiply
    421.75x = 582.25 × 282.32
  4. Step 4: Simplify right side
    421.75x = 164,381.57
  5. Step 5: Solve for x
    x = 164,381.57/421.75
  6. Step 6: Final answer
    x = 389.76

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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.