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Finding the Fourth Proportional to 421.32, 581.43 and 246.68

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Solution

The fourth proportional to 421.32, 581.43 and 246.68 is: 340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.32 : 581.43 = 246.68 : x
  2. Step 2: Convert to fraction form
    421.32/581.43 = 246.68/x
  3. Step 3: Cross multiply
    421.32x = 581.43 × 246.68
  4. Step 4: Simplify right side
    421.32x = 143,427.15
  5. Step 5: Solve for x
    x = 143,427.15/421.32
  6. Step 6: Final answer
    x = 340.42

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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.