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Finding the Fourth Proportional to 341.81, 513.22 and 212.01

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Solution

The fourth proportional to 341.81, 513.22 and 212.01 is: 318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.81 : 513.22 = 212.01 : x
  2. Step 2: Convert to fraction form
    341.81/513.22 = 212.01/x
  3. Step 3: Cross multiply
    341.81x = 513.22 × 212.01
  4. Step 4: Simplify right side
    341.81x = 108,807.77
  5. Step 5: Solve for x
    x = 108,807.77/341.81
  6. Step 6: Final answer
    x = 318.33

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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.