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Finding the Fourth Proportional to 334.28, 461.72 and 282.01

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Solution

The fourth proportional to 334.28, 461.72 and 282.01 is: 389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.28 : 461.72 = 282.01 : x
  2. Step 2: Convert to fraction form
    334.28/461.72 = 282.01/x
  3. Step 3: Cross multiply
    334.28x = 461.72 × 282.01
  4. Step 4: Simplify right side
    334.28x = 130,209.21
  5. Step 5: Solve for x
    x = 130,209.21/334.28
  6. Step 6: Final answer
    x = 389.52

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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.