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Finding the Fourth Proportional to 421.24, 582.10 and 347.56

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Solution

The fourth proportional to 421.24, 582.10 and 347.56 is: 480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.24 : 582.10 = 347.56 : x
  2. Step 2: Convert to fraction form
    421.24/582.10 = 347.56/x
  3. Step 3: Cross multiply
    421.24x = 582.10 × 347.56
  4. Step 4: Simplify right side
    421.24x = 202,314.68
  5. Step 5: Solve for x
    x = 202,314.68/421.24
  6. Step 6: Final answer
    x = 480.28

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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.