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Finding the Fourth Proportional to 334.92, 462.42 and 290.76

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Solution

The fourth proportional to 334.92, 462.42 and 290.76 is: 401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.92 : 462.42 = 290.76 : x
  2. Step 2: Convert to fraction form
    334.92/462.42 = 290.76/x
  3. Step 3: Cross multiply
    334.92x = 462.42 × 290.76
  4. Step 4: Simplify right side
    334.92x = 134,453.24
  5. Step 5: Solve for x
    x = 134,453.24/334.92
  6. Step 6: Final answer
    x = 401.45

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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.