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Finding the Fourth Proportional to 334.90, 462.21 and 288.46

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Solution

The fourth proportional to 334.90, 462.21 and 288.46 is: 398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.90 : 462.21 = 288.46 : x
  2. Step 2: Convert to fraction form
    334.90/462.21 = 288.46/x
  3. Step 3: Cross multiply
    334.90x = 462.21 × 288.46
  4. Step 4: Simplify right side
    334.90x = 133,329.10
  5. Step 5: Solve for x
    x = 133,329.10/334.90
  6. Step 6: Final answer
    x = 398.12

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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.