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Finding the Fourth Proportional to 334.17, 500.74 and 212.06

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Solution

The fourth proportional to 334.17, 500.74 and 212.06 is: 317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.17 : 500.74 = 212.06 : x
  2. Step 2: Convert to fraction form
    334.17/500.74 = 212.06/x
  3. Step 3: Cross multiply
    334.17x = 500.74 × 212.06
  4. Step 4: Simplify right side
    334.17x = 106,184.42
  5. Step 5: Solve for x
    x = 106,184.42/334.17
  6. Step 6: Final answer
    x = 317.76

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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.