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Finding the Fourth Proportional to 334.30, 461.42 and 301.50

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Solution

The fourth proportional to 334.30, 461.42 and 301.50 is: 416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.30 : 461.42 = 301.50 : x
  2. Step 2: Convert to fraction form
    334.30/461.42 = 301.50/x
  3. Step 3: Cross multiply
    334.30x = 461.42 × 301.50
  4. Step 4: Simplify right side
    334.30x = 139,118.13
  5. Step 5: Solve for x
    x = 139,118.13/334.30
  6. Step 6: Final answer
    x = 416.15

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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.