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Finding the Fourth Proportional to 334.38, 501.51 and 213.48

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Solution

The fourth proportional to 334.38, 501.51 and 213.48 is: 320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.38 : 501.51 = 213.48 : x
  2. Step 2: Convert to fraction form
    334.38/501.51 = 213.48/x
  3. Step 3: Cross multiply
    334.38x = 501.51 × 213.48
  4. Step 4: Simplify right side
    334.38x = 107,062.35
  5. Step 5: Solve for x
    x = 107,062.35/334.38
  6. Step 6: Final answer
    x = 320.18

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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.