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Finding the Fourth Proportional to 334.28, 501.10 and 142.04

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Solution

The fourth proportional to 334.28, 501.10 and 142.04 is: 212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.28 : 501.10 = 142.04 : x
  2. Step 2: Convert to fraction form
    334.28/501.10 = 142.04/x
  3. Step 3: Cross multiply
    334.28x = 501.10 × 142.04
  4. Step 4: Simplify right side
    334.28x = 71,176.24
  5. Step 5: Solve for x
    x = 71,176.24/334.28
  6. Step 6: Final answer
    x = 212.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.