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Finding the Fourth Proportional to 334.34, 501.50 and 142.10

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Solution

The fourth proportional to 334.34, 501.50 and 142.10 is: 213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.34 : 501.50 = 142.10 : x
  2. Step 2: Convert to fraction form
    334.34/501.50 = 142.10/x
  3. Step 3: Cross multiply
    334.34x = 501.50 × 142.10
  4. Step 4: Simplify right side
    334.34x = 71,263.15
  5. Step 5: Solve for x
    x = 71,263.15/334.34
  6. Step 6: Final answer
    x = 213.15

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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.