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Finding the Fourth Proportional to 421.86, 582.30 and 282.09

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Solution

The fourth proportional to 421.86, 582.30 and 282.09 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.86 : 582.30 = 282.09 : x
  2. Step 2: Convert to fraction form
    421.86/582.30 = 282.09/x
  3. Step 3: Cross multiply
    421.86x = 582.30 × 282.09
  4. Step 4: Simplify right side
    421.86x = 164,261.01
  5. Step 5: Solve for x
    x = 164,261.01/421.86
  6. Step 6: Final answer
    x = 389.37

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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.